Question

The measure of each interior angle of a regular decagon is

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

A decagon has 10 sides
In a regular polygon each interior angle is equal.
We know $e^{\circ }=\frac{{360}^{\circ }}{n}{e}^{\circ }=\frac{{360}^{\circ }}{10}{e}^{\circ }={36}^{\circ }\text{also}{i}^{\circ }+e^{\circ }={180}^{\circ }{i}^{\circ }+{36}^{\circ }={180}^{\circ }{i}^{\circ }={144}^{\circ }$