Chapter 11.6, Problem 47SR

To determine

Each interior angle of a regular 12-gon.

Answer to Problem 47SR

150 degree $\left(i.e{.150}^{°}\right)$

Explanation of Solution

Given information:

Geometry: Regular 12-gon.

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 = 12

  $\therefore$ Sum of angles = $\left(12-2\right)\times 180$

= $10\times 180={1800}^{°}$

The measure of each interior angle = $\frac{1800}{12}={150}^{°}$