Question

1. find the measure of ∠1. 72° 36° 60° 54°

Explanation:

Step1: Recall the total degrees around a point

The total degrees around a point is \(360^{\circ}\).

Step2: Recognize the figure is a regular pentagon

A regular pentagon is divided into 5 equal - angle parts around the center.

Step3: Calculate the measure of \(\angle1\)

Use the formula \(\angle1=\frac{360^{\circ}}{n}\), where \(n = 5\) (number of equal - angle parts in a regular pentagon). So \(\angle1=\frac{360^{\circ}}{5}=72^{\circ}\).

Answer:

\(72^{\circ}\)