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Lines, Triangles and Circles · Question 42 of 67

Question 42

EasyOriginal question

The floor of a garden gazebo is a regular decagon (10 equal sides and angles). What is each interior angle of the floor?

Options for question 42

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Each exterior angle = 360∘÷10=36∘360^\circ \div 10 = 36^\circ.

  2. Each interior angle = 180∘−36∘=144∘180^\circ - 36^\circ = 144^\circ.

Worth noting

36° is the exterior angle. 108° belongs to a regular pentagon and 140° to a regular nonagon (9 sides).

Concept
Interior angle of a regular polygon
Typical time
40 s
Your time
—
The rule this testsQuadrilaterals and polygons
Practise this chapter →

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.