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Lines, Triangles and Circles · Question 44 of 67

Question 44

EasyOriginal question

Each interior angle of a regular polygon is 156°. How many sides does it have?

Options for question 44

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Each exterior angle = 180∘−156∘=24∘180^\circ - 156^\circ = 24^\circ.

  2. The exterior angles add up to 360°, so the number of sides = 360÷24=15360 \div 24 = 15.

Worth noting

24 is the exterior angle, not the number of sides.

Concept
Number of sides from the exterior angle
Typical time
40 s
Your time
—
The rule this testsQuadrilaterals and polygons
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Ten questions from Lines, Triangles and Circles, at your own pace.

Practise this chapter →

Ten questions from Lines, Triangles and Circles, at your own pace.