# Exterior angles

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## Lesson details

### Key learning points

- In this lesson, we will learn about exterior angles, and how they sum to 360 degrees.

### 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.

A triangle is made up of the following: 73 degrees, 51 degrees and x degrees. Solve for x.

180 degrees

236 degrees

65 degrees

Q2.

If a quadrilateral contains 3 right angles, what must the final angle be to form a quadrilateral?

A reflex angle

An acute angle

An obtuse angle

Q3.

If the angles in a decagon are the following: 73 degrees, 293 degrees, 203 degrees, 9 degrees, 29 degrees, 184 degrees, 173 degrees, 93 degrees, 208 degrees, y degrees. Solve for y.

295

75

95

Q4.

Is it possible to have two obtuse angles in a triangle?

Yes

Q5.

You are told that V + W + X + Y + Z = total interior sum of a pentagon. If V = 90 degrees, W = 110 degrees, X = 10 degrees, Y = 300 degrees, what would Z be?

210

3

300

### 5 Questions

Q1.

The total exterior angles of a polygon sum to...

180 degrees

720 degrees

90 degrees

Q2.

Which of the following most closely matches the definition of an "exterior angle"?

An angle that is between 180-360 degrees

The angle on the inside of a polygon.

The angle on the outside of a polygon, often being reflex.

Q3.

If an interior angle is 103 degrees, then the exterior angle would be...

13 degrees

257 degrees

Impossible to tell; there's not enough information.

Q4.

If an exterior angle is 15 degrees, then the interior angle would be...

15 degrees

345 degrees

85 degrees

Q5.

If I wanted to find the exterior angle of a regular n-sided polygon, which formula should I follow?

180(n-2)

180/n

360(n-2)/n