Children return to school Mon 8th April

6R 11/05/20- Maths (Angles in triangles)

Good morning, I hope you all had a wonderful bank holiday weekend. Today we are continuing to expand our angle knowledge. Today’s lesson is simple if you watch the video and understand what the 3 angles in a triangle total.

BRONZE CHALLENGE
(Mrs Ahmed’s maths group)

SILVER CHALLENGE
(Miss Vega & Mrs Hurt’s maths group)

GD challenge

There are far too many children saying ‘I done it’ – this comment means nothing unless a photo of your work has been sent to the year 6 email. (Thank you to the few who are currently doing this)
Every child in Year Six has access to a phone or tablets and every parent has an email address. Therefore we will only accept your work via email
 or in full sentences in the comment boxes below.
Remember we’re aiming to prepare you for Secondary School!

39 responses to “6R 11/05/20- Maths (Angles in triangles)”

  1. Leona D.

    Silver
    1.68.4 degrees=q
    2.36.3 degrees=s
    3.139 degrees=r
    4.60.7 degrees=t
    5. 81 degrees=the third angle
    6.156 degrees=the third angle.
    7.66 degrees=the third angle.

  2. Zara H.

    Maths Challenge Silver
    1.
    a)The answer is 68.4 degrees
    b)The answer is 36.3 degrees
    c)The answer is 139 degrees
    d)The answer is 60.7 degrees
    2.
    a) The answer is 81 degrees
    b) The answer is 156 degrees
    c) The answer is 66 degrees

    1. Mrs Hurt

      Great Zara! Can you name the 4 different types of triangle?

  3. Ayaan P.

    Silver
    1.68.4 degrees
    2.36.3 degrees
    3.139 degrees
    4.60.7 degrees
    5.81 degrees is the third angle.
    6.156 degrees is the third angle.
    7.66 degrees is the third angle.
    8.Ron is wrong.This is because he has not included the right angle.It would be 53 degrees(p).
    GD challenge
    The angles are 56,93 and 31 degrees.

    1. Mrs Hurt

      Well done! What is the formula for the sum of the angles of any 2d shape? Explain.

  4. Mahamad Y.

    Silver:
    1A.) There are 180 degrees inside any triangle. First we find out how many degrees are left so we do 88.4 degrees add 23.2 degrees which equals 111.6 degrees. Then to find out the angle of q we do 180 degrees take away 180 degrees take away 11.6 degrees which equals 67.4 degrees. This means angle q equals 67.4 degrees.
    B.) There are 180 degrees in a triangle. First to find angle r we do 101.6 degrees add 42.1 degrees which equals 143.7 degrees. Then we do 180 degrees take away 143.7 degrees which equals 36.3 degrees which is the value of angle r.
    C.) To find angle g we do 19.5 ad 21.5 degrees which equals 41 degrees. Then we do 180 degrees take away 41 degrees which equals 139 degrees. This is the value of angle g.
    D.) To find the value of angle t we do 72 degrees add 47.3 degrees which equals 119.3 degrees. As there are 180 degrees in a triangle and there are 3 internal angles in a triangle what remains is the value of angle t. We do 180 degrees take away 119.3 degrees which equals 60.7 degrees. This is the value of angle t.
    2A.) To find the size of the third angle we do 42 degrees add 57 degrees which equals 99 degrees. Then we do 180 degrees take away 99 degrees which equals 81 degrees. The value of the third angle is 81 degrees.
    B.) If 2 of the angles are 12 degrees then we do 12 multiplied by 2 which equals 24 degrees. Then we do 180 degrees take away 24 degrees which equals 156 degrees. This is the size of the third angle.
    C.) To find the size of the third angle we do 38 add 76 degrees as 76 is double 38 which equals 114 degrees. Then we do 180 degrees take away 114 degrees which equals 66 degrees. This is the size of the third angle.
    3.) Triangle A goes into the 2 acute angles section. Triangle B goes into the 3 acute angles section. angle C goes into the 2 acute angles section. Angle D goes into the 3 acute angles section. Angle E goes into the 2 acute angles section. The 0 acute angles section and the 1 acute angle section are empty because there are 180 degrees in a triangle. If there were 0 acute angles that would mean all the angles would have to be at least 90 degrees which would equal 270 degrees. If there was 1 acute angle 2 angles would have to be at least 90 degrees each which would mean the total degrees in that triangle would exceed 180 degrees.
    4.) I disagree with Ron. This is because There is a right angle which equals 90 degrees. 90 degrees add 37 degrees equals 127 degrees. Then you do 180 take away 127 degrees which equals 53 degrees.
    GD:
    To find interior angles you do the number of sides of that shape take away 2 then you multiply it by 180 degrees. For example a triangle has 3 sides so you do 3 take away 2 which equals 1 then you times it by 180 degrees which equals 180 degrees in a triangle which is true. There are 180 degrees in a triangle. There is an angle which measures to 56 degrees. There is an obtuse angle which is three times the size of the last remaining acute angle. Because of this we do 180 degrees take away 56 degrees which equals 124 degrees. Then we do 124 degrees divided by 4 parts which equals 31 degrees. This is the size of the acute angle. To find the size of the obtuse angle you do 31 degrees multiplied by 3 which equals 93 degrees. This is the size of the obtuse angle.
    The formula for finding the total of the interior angles for a shape is the number of sides take away 2 then times 180 degrees. To find 1 external angle you divide the interior angles by the number of sides of the shape then you do 180 take away the single interior angle to find a single external angle.
    Hexagon: (5-2=3) x 180 = 540 degrees. 540 = total of interior angles.
    External angle = Answer divided by 5 540 divided by 5( number of sides) = 108. 180 – 108 equals 72 degrees. 72 degrees equals 1 external angle.

    1. Mahamad Y.

      I mean pentagon.

    2. Mrs Hurt

      Very comprehensive explanations! Well done! So how would you calculate the sum of the exterior angles of a shape? A formula?

  5. Leena N.

    1) A) 23.2+88.4=111.6
    180-111.6=68.4
    Q=68.4
    B) 42.1+101.6=143.7
    180-143.7=36.3
    R=36.3
    C)19.5+21.5=41
    180-41=139
    S=139
    D)72+47.3=119.3
    180-+119.3=60.7
    T=60.7
    2) A.Two angles in a triangle are 42 and 57.What is the size of the third angle.
    42+57=99
    180-99=81
    The size of the third triangle is 81°
    B.Two of the angles in a triangle are 12.What is the size of the third angle.
    12+12=24.
    180-24=156.
    The third angle is 156°.
    C.One of the angles in a triangle is 38°.Another angle is twice the size of the first angle.What is the size of the third angle.
    38×2=76
    76+38=114
    180-114=66
    The third angle is 66°
    3) I don’t understand but I tried on a paper.
    4) I disagree with Ron because there are 3 angles and he has 2 angles in the triangle. He has forgotten about the right angle that is in the shape. What ton was meant to do was 90 + 37 = 127 and then 180 – 127 = 53. Therefore ‘P’ should be 53° because 90°+37°+53°=180°.

    1. Mrs Hurt

      Number 3 is just the same as the others, but the angles are measured to a decimal degree of accuracy!

  6. Humaira K.

    Bronze:
    1.)The sum of the three angles is 180 degrees . I know this because it’s a straight line.
    2.)Angles in a triangle=180 degrees.
    A.)X=41 degrees because If you do 92 + 47= 139 then If you do 180-139=41 degrees.
    B.)Y=97 degrees because If you do 58+25 = 83 then If you do 180-83=97 degrees.
    C.)Z=55 degrees because If you do 90+35=125 then If you do 180-125=55 degrees.
    D.)W= 121 degrees because If you do 31+28=59 then If you do 180-59=121 degrees.

    1. Mrs Hurt

      Well done Humaira! What is the sum of the external angles of a triangle?

      1. Humaira K.

        The sum of a external angle of a triangle is 360 degrees.

        1. Mrs Hurt

          :) Flying high again this week Humaira! How did you work this out?

  7. Amaan D.

    Silver:
    A. This equals 69.4 as you do 23.2 + 88.4 = 116.16
    180 – 116.16 = 68.4
    B. The answer is 36.63 as 42.1 + 101.6 = 143.7
    180 – 143.7 = 36.3
    C. S = 139 as 19.5 + 21.5 = 41
    180 – 41 = 139
    D. T = 60.7 as 72 + 47.3 = 119.3
    180 – 119.3 = 60.7
    4 a. 42 + 57 = 99
    180 – 99 = 81
    The third angle is 81
    B. The answer is 156 as 12 + 12 = 24
    180 – 24 = 156
    C. 38 x 2 = 76 + 38 = 114
    180 – 114 = 66
    The answer is 66

    1. Mrs Hurt

      Well done Amaan! What is the sum of the exterior angles of a triangle?

  8. Mario G.

    Silver challenge:
    1). A: q = 70.1.
    B: r = 36.3.
    C: s = 139.
    D: t = 60.7.

    2). A: The size of the third triangle is 81.
    B: The size of the third triangle is 156.
    C: The size of the third triangle is 66.

    3). A: The missing angle is 50 degrees.
    B: The missing angle is 88 degrees.
    C: The missing angle is 23 degrees.
    D: The missing angle is 57 degrees.

    6). No, I do not agree with Ron because he did not add up the right angle in the bottom right corner so instead of doing 180-37 he should have done 37+90 which is 127 and then subtract 127 from 180 which is 53 so p would be 53.

    1. Mrs Hurt

      WOW! Up early today, Mario! :)
      Great maths! Can you name the 4 different types of triangle?

  9. Barkad S.

    bronze
    1) it has straight line
    2)180 degrees
    x=41 degrees
    y=97 degrees
    z=55 degrees
    d=121 degrees

    1. Mrs Hurt

      Great work Barkad! Can you name the 4 different types of triangle?

  10. Christiana D.

    Bronze:
    1)The sum of the three angles is 180 degrees . I know this because it’s a straight line.
    2)Angles in a tringale equal to 180 degrees.

    A)X=41 degrees Because I did 92 + 47= 139 then I did 180-139=41 degrees.
    B)Y=97 degrees Because I did 58+25 = 83 then I did 180-83=97 degrees.
    C)Z=55 degrees Because I did 90+35=125 then I did 180-125=55 degrees.
    D)W= 121 degrees Because I did 31+28=59 then I did 180-59=121 degrees.

    1. Mrs Hurt

      Luiza – is this your own work? Make sure you work things out yourself so you can learn and make progress.

  11. Muhammad G.

    1A) The missing angle is 68.4°
    1B) The missing angle is 36.3°
    1C) The missing angle is 139°
    1D) The missing angle is 60.7°
    2A) If 2 angles are 42° and 57°, then the other angle is 81°
    2B) If 2 angles are 12°, then the other angle is 156°.
    2C) If 1 angle is 38° and the other is double (76°) then the third angle is 66°.
    3) I disagree with Ron because there are 3 angles and he has 2 angles in the triangle. He has forgotten about the right angle that is in the shape. Therefore ‘P’ should be 53° because 90°+37°+53°=180°.

  12. Mustafa G.

    3.111.6.This is because if you add 23.2 and 88.4 together it is 111.6 180 take away from 111.6 is 69.4. I did this because angles in a triangle always add up to 180 degrees so Q is 69.4.
    B.143.7. This is because 42.1+101.6 is 143.7.
    180-143.7=36.3. I did this because all angles in a triangle add up to 180 degrees so R is 36.3.
    C.41. This is because 19.5+21.5 is 41. 180-41 is 139 so S is 139.
    D. 119.3. This is because 72+47.3 is 119.3. 180-119.3 is 60.7 so T is 60.7.
    4. The size of the third angle is 81 degrees. I know this because 42+57=99 180-99 is 81 so the third angle was 81 degrees.
    B. The other angle is 156 degrees. I know this because 12+12=24 and 180-24=156 so the other angle is 156 degrees.
    C. The other angle is 66 degrees. I know this because 38×2 is 76 and 76+38 is 114. 180-114 Is 66 so the other angle is 66 degrees.
    5.
    0 acute angles:
    Their are no triangles that have no acute angles.
    1 acute angles:
    2 acute angles.
    A
    B
    C
    E
    3 acute angles.
    D
    There are columns that don’t have any of the triangles in because two right angles are 180 degrees so if you have a right angle an obtuse angle and an acute angle they will all total to be more than 180 degrees.
    6. I don’t agree with Ron because their is a right angle so he should have have added 37 and 90 to get 127. Then he should have done 180 take away 127 to get his answer 53.

    1. Mustafa G.

      Why is the numbers blue because when I press it it says call.

      1. Mrs Hurt

        I am not sure which numbers you are referring to??

    2. Mrs Hurt

      Great work Mustafa! What is the sum of the EXTERNAL angles of a triangle?

      1. Mustafa G.

        360 degrees

        1. Mrs Hurt

          Well done! How did you calculate?

  13. Safa H.

    Gold:
    Obtuse angle
    Acute angle
    Acute angle

    1. Mrs Hurt

      Great reasoning Safa!

    2. Mrs Hurt

      Great Safa! What is the sum of interior angles in a quadrilateral? A hexagon? What is the formula to work this out? (Google if you don’t know!)

      1. Safa H.

        360°. Calculate the sum of all the interior angles by using the formula (n – 2)(180°).

        1. Mrs Hurt

          :) What does n stand for?

          1. Safa H.

            N stands for the number of sides, or angles, that the polygon has.

  14. Zahrah M.

    Bronze:
    1)The sum of the three angles is 180 degrees . I know this because it’s a straight line.
    2)Angles in a tringale equal to 180 degrees.

    A)X=41 degrees Because I did 92 + 47= 139 then I did 180-139=41 degrees.
    B)Y=97 degrees Because I did 58+25 = 83 then I did 180-83=97 degrees.
    C)Z=55 degrees Because I did 90+35=125 then I did 180-125=55 degrees.
    D)W= 121 degrees Because I did 31+28=59 then I did 180-59=121 degrees.

    1. Mrs Hurt

      Well done Zahrah! How many different types of triangle can you name?

  15. Umar A.

    Silver:
    3.A)23.2+88.4=111.6
    180-111.6=68.4
    Q=68.4
    B)42.1+101.6=143.7
    180-143.7=36.3
    R=36.3
    C)19.5+21.5=41
    180-41=139
    S=139
    D)72+47.3=119.3
    180-+119.3=60.7
    T=60.7

    4.
    A.Two angles in a triangle are 42 and 57.What is the size of the third angle.
    42+57=99
    180-99=81
    The size of the third triangle is 81°
    B.Two of the angles in a triangle are 12.What is the size of the third angle.
    12+12=24.
    180-24=156.
    The third angle is 156°.
    C.One of the angles in a triangle is 38°.Another angle is twice the size of the first angle.What is the size of the third angle.
    38×2=76
    76+38=114
    180-114=66
    The third angle is 66°

    1. Mrs Hurt

      Great Umar! What is the sum of interior angles in a quadrilateral? A hexagon? What is the formula to work this out? (Google if you don’t know!)

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