6B 20/05-Maths (Angles in polygons)

What is a regular polygon?

Bronze- Mrs Ahmed’s Maths group
(For this task you would benefit from drawing these shapes out and practically folding them into triangles etc)

Silver- Miss Vega’s Maths group

Gold- Mrs Hurts Maths group

Challenge:

25 thoughts on “6B 20/05-Maths (Angles in polygons)”

1. Sofia S.

I have emailed my work.

• Mrs Jones

Well done Sofia. How did you find it?

2. Abdulwahab E.

1a) Rosie’s shape is a hexagon.
1b)Amir’s shape is a octagon.
1c) It is 900°.
2a)Y=150°
2b)y=36°
2c)y=75°
2d)y=48°
2e)y=62°
2f)y=27°
Challenge
Dora’s polygon sums to 900°.
Tommy’s polygon sums to 720°.
Alex’s polygon sums to 540°.

• Mrs Ahmed

Well done Abdulwahab :)

• Mrs Jones

Great work Abdulwahab. Please could you go back to 2 e) and have another go?

3. Azan S.

Bronze:
A=180
B=180
180+180=360
2)Quadrilateral-4-2-180×2-360.
2b)Pentagon-5-3-180×3-540.
2c)Hexagon-6-4-180×4=720.
2d)Heptagon-7-5-180×5=900.
2e)octagon-8-6-180×6=1080
3b)sides=6, triangles=4, 180×4=720.
3c)sides=9, 7 triangles, 180×7=1260.
silver:
nonagon-9-7-1260
decagon-10-8-1440
2b)There are 10 triangles 10 x 180 is 1800.
2c)Hexagon.
2d)Octagon.
2e)Heptagon=720.
Gold:
It is a Hexagon
1b)Its a Octagon
1c)Its a Heptagon and the sum interior is 720.

• Mrs Ahmed

Thanks Azan, how are you finding angles in shapes so far?

• Mrs Jones

Great work Azan🙌🏻. Can you have a go at question 5 and find the missing angles?

4. Ayaan H.

I have done it on paper

5. Khadijah A.

What is a regular polygon?
A polygon is regular when all angles are equal and all sides are equal

Mrs Ahmed’s Math group:
________

What do the interior angles of triangle A add up to?
It adds up to 180°

What do the interior angles of the triangle B add up to?
It adds up to 180°

What is the sum of angle in a quadrilateral?
The sum is 360°
_______

Pentagon – 5 – 3 – 180 × 3 – 540°
__

Hexagon – 6 – 4 – 180 × 4 = 720°
__

Heptagon – 7 – 5 – 180 × 5 = 900°

What do you notice?

That the number of triangles is going in order, and you have to times the number of triangles to 180.

_______________________________

1)

B) Number of sides = 6
Number of triangles = 4
4 × 180 = 720°
The sum of the interior angle of a hexagon is 720°
_____

C) Number of sides = 7
Number of triangles = 5
5 × 180 = 900°
The sum of the interior angles of a heptagon is 900°
____
What do you notice about the number of sides compared to the number of triangles?

I’ve noticed that the number of sides is going in order like 5,6,7 etc..
and the number of triangles is going in order to!
__

By Khadijah

• Mrs Ahmed

Super organisation, structure and correct answers-Well done!

• Khadijah A.

Thank you, Mrs Ahmed😁

• Mrs Jones

Great work Khadijah. Do you feel confident you understand how to find the interior angles in shapes with a different number of sides?

• Khadijah A.

Yes I feel much more confident with angles and shapes1

6. Jessica M.

These questions seem kind of hard.

• Mrs Ahmed

Well you haven’t even had a go.

You didn’t try yesterday, you haven’t done your English today either.

You are capable of answering these questions but actually need to read the blogs, watch the videos and then complete the challenge.

• Mrs Jones

Give it your best please Jessica. How are you getting on with the work pack we gave you?

7. Hadisa D.

4)Rosie, Amir and Eva are drawing polygons.
a) What polygon has Rosie drawn?
Rosie has drawn a hexagon.

b)What polygon has Amir drawn?
Amir has drawn an octagon.

c)What is the sum of the interior angles of Eva’s polygon?
The sum of interior angles is 900°.

5)Each compound shape is made up of regular polygons.
Work out angle y in each case.
a) 720°÷6=120°
90°+120°=210°
360°-210°=150°
90°+120°+150°=360°
y=150°

b)540°÷5=108°
108°×3=324°
360°-324°=36°
108°+108°+108°+36°=360°
y=36°

c)1080°÷8=135°
135°+60°+90°=285°
360°-285°=75°
135°+60°+90°+75°=360°
y=75°

d)540°÷5=108°
108°-60°=48°
y=48°

e)540°÷5=108°
180°-108°=72°
72°÷2=36°
108°-36°=72°
y=72°

f)540°÷5=108°
1080°÷8=135°
135°-108°=27°
y=27°

Challenge:
Dora- Dora’s shape is a pentagon. The sum of its interior angles are 540°.
Tommy- The shape is a hexagon. The sum of its interior angles are 720°.
Alex- The shape is a pentagon. The sum of its interior angles are 540°.

• Mrs Ahmed

Yet again, the star blogger.

Hadisa, may I just applaud your ability to read, listen and try!

Really good use of maths skills applied.

• Mrs Jones

I agree Mrs Ahmed. Star blogger🙌🏻🙌🏻 Well done Hadisa.

8. Omar A.

4a) Hexagon
b) Octagon
c) Heptagon

Challenge:
Dora=900 degrees
Tommy=720 degrees
Alex=540 degrees

• Mrs Ahmed

Where is the rest of your work?

• Mrs Jones

Please complete question 5.