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Question

Each interior angle of a regular decagon is :


A

124°

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B

120°

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C

144°

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D

140°

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Solution

The correct option is C

144°


Finding the measure of each interior angle of a regular decagon

A polygon with 10 sides is known as decagon

As we know,that, the sum of measures of interior angles of a polygon having n sides is=(n2)×180degrees

For decagon, the number of sides=10

So, the sum of measures of interior angles of decagon is =(102)×180=1440°

Now,

Themeasureofeachinteriorangle=sumofmeasuresofinteriorangles÷totalnumberofsides

Interior angle=144010=144°

Therefore, the measure of each interior angle of regular decagon is144°.

Hence, option (C) is the correct answer.


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