Chapter 11, Problem 13MCQ

To determine

To calculate: Each interior angle of the regular Pentagon.

Answer to Problem 13MCQ

108 degree $\left(i.e{.108}^{°}\right)$

Explanation of Solution

Given information:

Geometry: Regular pentagon.

Formula used:

The sum of angles of a regular polygon may be represented as:

Sum of angles = $\left(n-2\right)\times 180$

Where, n= number of sides of the regular polygon.

Calculation:

Here, n = 5 (∵ Pentagon has 5 sides)

  $\therefore$ Sum of interior angles = $\left(5-2\right)\times 180$

= $3\times 180={540}^{°}$

The measure of each interior angle = $\frac{540}{5}={108}^{°}$