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## Lesson details

### Key learning points

- In this lesson, we will learn that the sum of the interior angles of a polygon can be found using triangles.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 5 Questions

Q1.

ABCD forms a quadrilateral. What are the total interior angles of the quadrilateral?

180 degrees

36 degrees

90 degrees

Q2.

Angle ABC is 98 degrees. What would the size of the reflex angle formed be on the exterior?

2 degrees

360 degrees

82 degrees

Q3.

If I combined two equilateral triangles together with a shared side, what would the shape formed be called?

Equilateral triangle

Rectangle

Square

Q4.

Which of the following is not a rule used so far for angles?

Angles on a straight line sum to 180 degrees

Interior angles in a triangle sum to 180 degrees

Q5.

If A + B + C = 180, D + E = 180 and F is a right angle, what does A + B + C + D + E + F equal?

180 degrees

360 degrees

540 degrees

### 5 Questions

Q1.

The total sum of the interior angles of two triangles would be equal to...

180 degrees

540 degrees

90 degrees

Q2.

If I have a regular pentagon, how many triangles from one distinct point internally can I create?

1

4

5

Q3.

If I have a regular pentagon, what would the total interior angles sum to?

180 degrees

360 degrees

450 degrees

Q4.

If I have a regular octagon, how many triangles from one distinct point internally can I create?

4

5

8

Q5.

If I have a regular octagon, what would the total interior angles sum to?

1440 degrees

360 degrees

900 degrees