Question

this angle cuts out \\(\frac{1}{5}\\) of the circle. find the measure of the angle.

Explanation:

Step1: Recall the total degrees in a circle

A full circle has \( 360^\circ \).

Step2: Calculate the angle measure

The angle cuts out \( \frac{1}{5} \) of the circle, so we find \( \frac{1}{5} \) of \( 360^\circ \). The formula is \( \text{Angle measure} = \frac{1}{5} \times 360^\circ \).
Calculating this: \( \frac{360}{5} = 72 \).

Answer:

\( 72 \)