Question

what is the measure of each interior angle of the regular polygon pictured below? if necessary, round to the nearest tenth. answer attempt 1 out of 2 submit answer

Explanation:

Step1: Identify the polygon type

The polygon in the picture is a regular pentagon, so the number of sides \( n = 5 \).

Step2: Use the interior angle formula

The formula for the measure of each interior angle of a regular polygon is \( \frac{(n - 2)\times180^{\circ}}{n} \). Substitute \( n = 5 \) into the formula:

$$ \frac{(5 - 2)\times180^{\circ}}{5}=\frac{3\times180^{\circ}}{5}=\frac{540^{\circ}}{5} = 108^{\circ} $$

Answer:

\( 108 \)