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°.