# Angle notation and problem solving

## Lesson details

### Key learning points

1. 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.

## Video

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## Worksheet

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## Starter quiz

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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
Correct answer: 180(8 - 2)
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
Correct answer: Sum of the total interior angles of a polygon

## Exit quiz

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### 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...
Correct answer: 23 degrees
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
Correct answer: 90 degrees
Q5.
ABC is a triangle. Angle ABC is 90 degrees. Angle BAC is 23 degrees. Angle ACB is...
23 degrees
Correct answer: 67 degrees
77 degrees
90 degrees