# 6R 20/05- Maths (Angles in regular 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:

## 35 thoughts on “6R 20/05- Maths (Angles in regular polygons)”

1. Jeremi J.

1. Hexagon
2. Octagon
3. Heptagon
4. 210 degrees
5. 144 degrees

2. Mario G.

Silver:

1. Pentagon = 5 sides, 35 triangles, the sum of interior angles add up to 540 degrees.
Nonagon = 9 sides, 9 triangles, the sum of interior angles add up to 1260 degrees.
Decagon = 10 sides, 8 triangles, the sum of interior angles add up to 144 degrees.
Hexagon = 6 sides, 6 triangles, the sum of interior angles add up to 120 degrees.

3. Kimberley M.

Pentagon:5 sides 35 triangles
Angles add up to 540 degrees
Nonagon:9 sides 9 triangles
Angles add up to 1260 degrees
Decagon:10 sides 8 triangles
Angles add up to 144 degrees
Hexagon:6 sides 6 triangles
Angles add up to 120 degrees

1). Hexagon, two down a vertical line, and two on a horizontal line.
2).The interior angles of an 8 sided octagon add up to 1080.
3).Heptagon as more sides than a hexagon but fewer than a octagon. An octagon has eight sides whilst a hexagon has 6 sides, so the only number that is in between those two values is the number 7, the specific seven sided shape is called a heptagon.
4).y= 150 Degrees
5).y= 36 Degrees
6).y= 30 Degrees
7).y= 48 Degrees
8).y= 72 Degrees
9).y= 72 Degrees

5. Leona D.

Pentagon:5 sides 35 triangles
Angles add up to 540 degrees
Nonagon:9 sides 9 triangles
Angles add up to 1260 degrees
Decagon:10 sides 8 triangles
Angles add up to 144 degrees
Hexagon:6 sides 6 triangles

• Mr Patel

Hi Leona – Please can you do the work in school hours? This will help us to support you instantly.

6. Umar A.

A.Hexagon.
B.Octagon.
C.Heptagon.
2. 150°
B.36 °
C.30 °
D.48 °
E.72 °
F. 72°
Pentagon.hexagon. Triangle.

• Mr Patel

Good.

Reasoning???

7. Ayub A.

A.)Hexagon.
2.) Octagon
3.) Heptagon
The sum interior angle of a Heptagon is 900 degrees.

• Miss Kaur

Well done for trying Ayub, can you go back and complete the bronze challenge only.

• Mr Patel

Can you tell me some of the properties of these shapes?

8. Humaira K.

1.)What is a regular polygon?
5 sided pentagon
A.)A Hexagon has,
6 sides.
4 triangles.
180 x 6 = 1180
B.)A Pentagon has,
7 sides.
5 triangles.
180 x 5 = 900.

• Mr Patel

• Mr Patel

What is the difference between a regular and irregular shape?

1A.)Hexagon.
B.)Octagon.
C.) Heptagon.
2.) 150 degrees.
B.) 36 degrees.
C.) 30 degrees.
D.) 48 degrees.
E.) 72 degrees.
F.) 72 degrees.
3.) Alex’s shape is a Pentagon. Tommy’s shape is a hexagon. Dora’s shape is a Triangle.

• Mr Patel

Can you explain each of these?

10. Humza H.

1.Square this is because you can fit 4 equal triangles in there this is because a square is all equal.
2.Octoan this is because it has 8 sides.
3.Heptagon 900 degrees

• Mr Patel

Very brief. Have you answered all of the questions?

1)hexagon
2)octagon
3)heptagon
the sum interior angle of heptagon is 900 degrees

• Mr Patel

Thank you.

What is the difference between a regular and irregular shape?

12. Aleena N.

I have completed this task and will send a picture via email.

• Mr Patel

13. Mustafa G.

1.
Pentagon:
5 sides
35 triangles
Angles add up to 540 degrees
Nonagon:
9 sides
9 triangles
Angles add up to 1260 degrees
Decagon:
10 sides
8 triangles
Angles add up to 144 degrees
Hexagon:
6 sides
6 triangles
2.
Her shape is a hexagon
His shape is an octagon
Her shape is a heptagon

• Mr Patel

Think you have got these all correct – well done.

• Mustafa G.

Her shape is a hexagon because if you split a polygon into 4 triangles it is a hexagon.
His shape is an octagon because the sum of the interior angles in an octagon is 1080 degrees.
Her shape is a heptagon because it has more sides than Rosie but less than Amir and that turns out to be a heptagon.

• Mr Patel

Explained well.

14. Safa H.

1) Hexagon
2) Octagon
3) Heptagon
4) 210°
5) 144°

• Mr Patel

Gold
1) Rosie drew a hexagon.
2) Amir drew an octagon.
3) Eva drew a heptagon. The internal angles of a heptagon add up to 900°.

• Mr Patel

Good – Have you completed all of Mrs Hurt’s questions?

16. Zahrah M.

Q1)What is a regular polygon ?
5 sided pentagon
A)The Hexagon
Has 6 sides.
Has 4 triangles.
180 x 6 = 1180
B)The Pentagon
Has 7 sides.
Has 5 triangles .
180 x 5 = 900.

• Mr Patel

Well done, Zahrah.

How is school?
How are dinners? Are you eating all of your food?

17. Mr Patel

These questions will make you think!

18. Ayaan P.

1. Hexagon
2. Octagon
3. Heptagon
4. The sum interior angle of a Heptagon is 900 degrees.

• Mr Patel

Good. Did you do all of the questions from Mrs Hurt’s group?