Question

in the regular decagon shown, what is the measure of angle 1? 18 36 72 180

Explanation:

Step1: Recall the formula for the measure of an exterior angle of a regular polygon

The formula for the measure of an exterior angle of a regular polygon is $\frac{360^{\circ}}{n}$, where $n$ is the number of sides.

Step2: Identify the number of sides of a decagon

A decagon has $n = 10$ sides.

Step3: Calculate the measure of angle 1

Substitute $n = 10$ into the formula: $\frac{360^{\circ}}{10}=36^{\circ}$

Answer:

$36$