Year 8

# Angle notation and problem solving

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## Lesson details

### Key learning points

- In this lesson, we will learn about how to problem solve with angles in polygons, along with learning notations for referring to angles.

### 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.

The exterior angles of a hexagon sum to 540 degrees.

True

Q2.

A triangle ALWAYS has each exterior angle as 60 degrees.

True

Q3.

The general formula for working out the mean exterior angle of an n-sided polygon is...

180(n-2)

360

n/360

Q4.

The calculation to work out the sum of the interior angles for an octagon would be...

180 x n

360 x

360(8 - 2)

Q5.

180n - 360 is a generalisation that tells us the...

Sum of the angles around a point

Sum of the angles on a straight line

Sum of the total exterior angles of a polygon

### 5 Questions

Q1.

Squares tesselate with each other.

False

Q2.

Equilateral triangles tesselate with each other.

False

Q3.

ABC is a triangle. Angle ABC is 90 degrees. Angle BAC is 23 degrees. Angle CAB is...

57 degrees

67 degrees

90 degrees

Q4.

ABC is a triangle. Angle ABC is 90 degrees. Angle BAC is 23 degrees. Angle CBA is...

23 degrees

57 degrees

67 degrees

Q5.

ABC is a triangle. Angle ABC is 90 degrees. Angle BAC is 23 degrees. Angle ACB is...

23 degrees

77 degrees

90 degrees