Question

1. find the measure of one angle of a 13 - sided regular polygon.

Explanation:

Step1: Recall the formula for interior - angle of a regular polygon

The formula for the measure of an interior angle \(A\) of a regular \(n\) - sided polygon is \(A=\frac{(n - 2)\times180^{\circ}}{n}\).

Step2: Substitute \(n = 13\) into the formula

Here \(n = 13\), so \(A=\frac{(13 - 2)\times180^{\circ}}{13}=\frac{11\times180^{\circ}}{13}=\frac{1980^{\circ}}{13}\approx152.31^{\circ}\)

Answer:

\(\frac{11\times180}{13}\text{ degrees}\approx152.31^{\circ}\)