# 6R 6/5/20 Maths (Introducing vertically opposite angles)

Exactly what it says in the title, today we are moving on to applying our knowledge of angles to identify missing angle sizes.
Three words you need to understand today: Vertical….Opposite…. Angles

BRONZE (Mrs Ahmed’s maths group)

SILVER (Miss Vega’s maths group)

GOLD (Mrs Hurt’s maths group)

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!

## 19 thoughts on “6R 6/5/20 Maths (Introducing vertically opposite angles)”

1. Jeremi J.

Gold:
1.133°
2.73°
3.52°
4.81°

2. Kimberley M.

1.A)y=29
B)z=132
2. No i do not agree with Annie because even though vertically opposite angles are equal, not all the lines are straight. One of the lines are curved which doesnt make f 79.
3.A)a. 133
B)=73
C)=52

3. Leena N.

Silver:
1).A: y = 29.
B: z = 132.
2).No, I do not agree with Annie because yes, although vertically opposite angles are equal, not both lines are straight, one of them is curved which makes the f not be 79
3).A: a 133 because vertically opposite angles are equal.
B: b = 73 because vertically opposite angles are equal.
C: c = 52.

4. Mario G.

Silver:
1).
A: y = 29.
B: z = 132.
2).
No, I do not agree with Annie because yes, although vertically opposite angles are equal, not both lines are straight, one of them is curved which makes the f not be 79
3).
A: a 133 because vertically opposite angles are equal.
B: b = 73 because vertically opposite angles are equal.
C: c = 52.

5. Safa H.

Gold:
A)133°
B)73°
C)52°
E)81°

• Mr Patel

Good so far – are you able to ‘reason’ these answers? This will support your learning.

Gold:
1.) Angle a is 133 degrees. This is because vertically opposite angles are always the same.
B.) There are 180 degrees on a straight line so you do 180 subtract 73 which equals 107 degrees. Then you do 180 degrees take away 107 degrees which equals 73 degrees. 73 degrees is the size of angle b therefore vertically opposite angles are always the same. This means that angle c is 52 degrees. Angle d is 16 degrees as 65 add 16 equals the vertical opposite 81 degrees. Angle e is 81 degrees, angle f is 23 degrees. This is because the vertical opposite is 113 degrees. There is a right angle as it has a square inside its corner so you do 13 take away 90 which equals 23 degrees.
2.) Angle a is 20 degrees and angle b is 60 degrees. I know this because you can use ratios to solve this question. I did 80 divided by 4 as the ratio I used is 1:3 as angle b is three times the size of angle a. 80 divided by 4 parts equals 20. 20 degrees is the size of angle a. Then you times 20 by 3 which equals 60 which is angle b. 20 add 60 equals 80.
3.) They are not vertical opposites. This is because 139 degrees is the opposite. Angle f is 1 quarter of angle g. Angle f is 28 degrees. Because of this I did 28 multiplied by 4 which equals 112 degrees. 112 degrees is 27 degrees smaller than 139 degrees so they are not vertical opposite angles.
4.) I disagree with Amir. This is because there are 180 degrees on a straight line. There is a right angle on the line so you do 180 take away 90 degrees which equals 90 degrees. One of the angles is 30 degrees. This means that there are 60 degrees left. The remaining angle cannot be the vertical opposite as it is twice the size of the other angle. If it were to be a vertical opposite the two angles would have to be 45 degrees in size.

• Mr Patel

Again, these are quality answers – well done!

Impressive!

Gold:
A)133°
B)73°
C)52°
D)34°
E)81°
F)23°
2) A=25° B=75°
3) Yes because they are on the same line and are the same angle.
4) I don’t agree with Amir because angle g is opposite to angle e which is 60°.

• Mr Patel

8. Mustafa G.

1.29 This is because angles opposite each other are the same.
2.132 because angles opposite are the same.
3.Annie is correct because angles opposite each other are all the same.

• Mr Patel

Did you do all of the questions set?

• Mustafa G.

4. A= 133 This is because angle opposite each other are always the same.
B= 73 This is because angles opposite are the same.
C= 52 This is because angles opposite are always the same.
D= 34
5. I disagree because you have already got one angle and c and a are going to be the same because they are opposite each other.

• Mr Patel

Better at explaining – well done.

9. Humza H.

Gold:
1.133 this is because the angles look identical and the angles add up to 360.
2.73 it is the same angle but smaller shape.
3.81
4.52
5.16
6.23
7. A=20 B=60
8.No because the angle is 69 between them both.
9.It is a diagonal line so the angles are different.

• Mr Patel

10. Umar A.

Gold:
A=133°
B=73°
C=52°
D=16°
E=81°
F=23

7.Yes because they are on the same line.

I do not agree because sometimes one angle is bigger than the other.

• Mr Patel