Children return to school Mon 8th April

6B 18/5-Maths (Angles in special quadrilaterals)

Good morning Year Six! I hope you’ve had a nice weekend relaxing and enjoying the weather. Today is the start of your final learning week before half term. We look forward to seeing you active (as expected from 9am-3pm)

Quick refresher:
Types of angles?
What do angles on a line total to?
What do angles in a triangle total to?
What is a vertically opposite angle?
What is a QUADrilateral?

Brilliant, the video shares some very good facts:
*What shapes classify as a quadrilateral.
*All 4 angles in a quadrilateral shape total to 360 degrees (the same as a circle).
*How to apply the bar model technique to find missing angles.

Miss Ahmed’s maths group

Miss Vega’s maths group

Mrs Hurt’s maths group

Please respond based on your maths class. Work if emailed should be sent to y6uploads@broadheath.coventry.sch.uk

20 responses to “6B 18/5-Maths (Angles in special quadrilaterals)”

  1. Aliko M.

    3a) 117
    3b) 57
    4a) 145
    4b) 102

  2. Amelia H.

    3. a).
    90+90+63=243
    360-243=117
    a=117
    b).
    123+123+57=303
    360-303=57
    b=57
    c).
    Both trapezium angles summary equals 360.
    Both have 2 equal angles.
    Trapezium A has 2 right angles and 2 angles each with different value.
    Trapezium B has 2 same angles on top and 2 same angles on the bottom.
    4.
    a).
    c=135
    b).
    d=102
    c).
    Opposite angles are equal.
    5.
    a).
    180-104=76
    76/2=38
    w=38 y=38
    180-68=112
    112/2=56
    x=56 z=56
    b).
    38+56=94
    c).
    38+56=94
    opposite angles in kite are equal. top angle is bigger than bottom angle.

  3. Jessica M.

    Task one:
    90 degrees.
    90 degrees.
    What do you notice?
    I noticed that the two shapes are equal and they are both 360 degrees.
    65 degrees.
    100 degrees.
    130 degrees.
    65 degrees.
    Total of square 360 degrees.
    I added all of quadrilateral shares and they equaled 360 altogether.
    117 degrees.
    57 degrees.

  4. Abdulwahab E.

    Quick refresher:
    Types of angles? Right angle, acute angle, obtuse angle and reflex angle
    What do angles on a line total to? 180°
    What do angles in a triangle total to?180°
    What is a vertically opposite angle? The angles opposite each other when two lines cross. They are always equal.
    What is a QUADrilateral?A quadrilateral is a shape with 4 sides.

    5a)w and y are equal therefore they are both 38° and x and z are equal therefore they are both 56°
    5b)w+y=76°
    5c)x+z=112°

    6a) r=61° 6b)s=73° 6c)t=107° 6d)u=119°

    7)Teddy is incorrect as all quadrilaterals equal 360° and if you have three right angles In order to get to 360° you must add 90° therefore it is impossible for a quadrilateral to have three right angle.

    1. Mrs Jones

      Good work Abdulwahab. Please can you check your answers to questions 5 b) and c) and question 6 a)

  5. Khadijah A.

    Quick refresher:

    Types of angles?

    the acute angle. right angle, left angle, obtuse angle, straight angle.

    What do angles on a line total to?

    180°

    What do angles in a triangle total to?

    180°

    What is a vertically opposite angle?

    Vertically opposite angle means when the angles are opposite each other.

    What is QUADrilateral?

    A QUADrilateral is 4 sided shape.

    Mrs Ahmed’s Maths Group:

    1)

    A)an angle is 90°
    A square has 4 sides there equally sides.
    4 × 90 = 360°
    ___________

    B) a rectangle has 4 angles.
    has 2 equally sides
    4 × 90 = 360 °

    What do you notice?
    I notice that the square has 4 equal sides and the rectangle only has 2 equal sides and they both add up to 360°.
    _____

    2) Angles in a Quadrilateral and up to 360°, therefore, this
    a quadrilateral has 4 vertices and if you add 4 × 90 = 360°.
    ______

    3)

    A) a =117
    because 63° + 90° + 90° = 243
    A Quadrilateral adds up to 360°

    360° – 243° = 117°
    ____

    B) b = 57
    Because 57° + 123° + 123° = 303
    A Quadrilateral adds up to 360°

    360° – 303° = 57

    ___
    Extra:

    You can also do the inverse to check your answer!!

    B) Inverse is:

    57° + 57° + 123° + 123° = 360°

    😉

    1. Mrs Jones

      Great work well done Khadijah 🌟

  6. Humzah F.

    Miss hurt.

    A)w and y is 36 degrees
    X and z is 68 degrees

    B)104 degrees

    C)104 degrees

  7. Omar A.

    5) 180-68=112
    112/2=56
    x=56 y=56

    180-104=76
    76/2=38
    w=38 y=38

    38+56=w+x=94
    56+38=y+z=94

    6a) 91+113+87=291
    360-291=69
    r=69
    b)s=73 degrees
    c)t=107
    d)61+90+90=241
    360-241=119
    u=119

    7) No quadrilaterals have exactly 3 right angles. All quadrilaterals interior angles must add up to 360 degrees .The fourth angle must be 90 degrees. The only example that fits this description with 4 right angles are squares and rectangles. Therefore Teddy is wrong and there cannot be a quadrilateral with only 3 right angles.

    1. Mrs Jones

      Well done Omar, all correct 🌟

  8. Anora N.

    My comment has just deleted.

    1. Anora N.

      when I tried to send it just disappeared.

  9. Sofia S.

    Task 1
    a)90 degrees
    b)90 degrees
    What do you notice?
    I notice that the sides on each shape are equal and the amount of degrees in each shape are 360 degrees.
    A)65 degrees
    B)100 degrees
    C) 130 degrees
    D)65 degrees
    Total of a square:360
    When i add all of the different angles in a quadrilateral together it will equal 360 degrees.
    A)117 degrees
    B)57 degrees

    1. Mrs Jones

      Well done Sofia.All correct except question 1. The first question asks you for the sum. What does that mean?

  10. Qasim J.

    Mrs Hurt’s math group:
    1.)180-104=76
    76 divided by 2=38
    w=38 degree
    y=38 degree.This is because angle y is equal to angle w since it is an
    isosceles triangle.
    X=56 degree because angles on a straight line add up to 180 degree.
    180-68=112
    112 divided by 2=56
    Z=56 degree.This is because angle z is equal to angle x.

    w+x=w+x=56°+38°=94°

    1. Qasim J.

      y+z=38+56=94
      6.) 91+113+87=291°
      360-291=69°
      r= 69°
      s=73°
      t=107°
      u=119°
      90+90=180+61=241.360-241=119
      Teddy is incorrect because a quadrilateral has 4 angles and sides.And Teddy says his quadrilateral has 3 angles.It is not possible.

      1. Mrs Jones

        Well done Qasim. Where are your answers to the first 4 parts to question 5?

    2. Mrs Jones

      Great work🙌🏻

  11. Hadisa D.

    Quick refresher
    The types of angles are obtuse angles, acute angles, straight angle and right angle.
    Angles on a line total to 180°.
    Angles in a triangle total to 180°.
    Vertically opposite angles are the angles opposite each other when two lines cross.
    A quadrilateral is a polygon with four sides.

    Mrs Hurt’s maths group
    5)Two isosceles triangles are joined to form a kite.
    a)Work out the sizes of the unknown angles.
    w=180°-104°=76°
    76°÷2= 38°
    w=38°

    y=38° because in an isosceles triangle two angles are always equal and angle w and y are equal. 38°+38°+104°=180°

    x= 180°-68°=112°
    112°÷2=56°
    x=56°

    z=56° because in an isosceles triangle two angles are always equal and angle x and z are equal. 56°+56°+68°=180°

    b)Work out w+x
    w+x=56°+38°=94°

    c)Work out y+z
    y+z= 38°+56°=94°

    I notice that because y and w are equal and x and x are equal the angles are both the same so the answers to the calculation will be the same because the same numbers have been used.

    6) Work out the sizes of the unknown angles.
    a) 91°+113°+87°=291°
    360°-291°=69°
    91°+113°+87°+69°=360°
    r= 69°

    b)s=73°

    c)t= 107°

    d)90°+90°+61°=241°
    360°-241°=119°
    90°+90°+61°+119°=360°
    u=119°

    7) Teddy is drawing a quadrilateral. He says,”My quadrilateral has exactly three right angles.” Is Teddy’s quadrilateral possible? Explain your answer.
    Quadrilaterals have 4 sides and 4 angles. The angles of any quadrilateral add up to 360 degrees ( 4 right angles). Therefore, if 3 angles are right angles, the 4th angle must also be a right angle. So no quadrilaterals have exactly 3 right angles.

    1. Mrs Jones

      Wow, well done a Hadisa this is super work. You are a great Broad Heath role model. Did you receive my voicemail this morning? Are you able to read Chapter 9 of our class novel please? It would be great to see you doing what you do best.

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