Exterior angles

Exterior angles

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Lesson details

Key learning points

  1. 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
Correct answer: 56 degrees
65 degrees
Q2.
If a quadrilateral contains 3 right angles, what must the final angle be to form a quadrilateral?
A reflex angle
Correct answer: A right 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.
Correct answer: 175
295
75
95
Q4.
Is it possible to have two obtuse angles in a triangle?
Correct answer: No
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
Correct answer: 30
300

5 Questions

Q1.
The total exterior angles of a polygon sum to...
180 degrees
Correct answer: 360 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
Correct answer: The angle between a side of a polygon, and an adjacent side extended outward.
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
Correct answer: 77 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
Correct answer: 165 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
Correct answer: 360/n

Lesson appears in

UnitMaths / Angles in polygons