Respuesta :

Given:

A quarter-circle is divided into 15 equal angles.

The objective is to find the measure of each angle.

Explanation:

The total angle in a quarter circle is 90°.

Then, the measure of angle obtained by dividing into 15 equal angles is,

[tex]\begin{gathered} \theta=\frac{90}{15} \\ \theta=6\degree \end{gathered}[/tex]

Hence, the measure of each angle is 6°.