Question

It takes 13 more copies of the angle for the last angle to overlap the first horizontal ray. What is the measure of each angle?

Answer 1

Missing part in the heading of the question:
For this question, use the diagram shown. The diagram shows the result of constructing a copy of an angle adjacent to one of the rays of the original angles. Assume the pattern continues.

Answer:
measure of each angle = 24°

Explanation:
The diagram shows two angles, if we add 13 more copies, the number of angles would be 15 angles

Now, when the 15 angles are drawn, the last angle would overlap with the first horizontal ray.
This means that the angles form one complete rotation around the point.

This means that the sum of the 15 angles together is 360°.

We know the all 15 angles are equal. Assume that the measure of each is x.
15 x = 360
x = 360 / 15
x = 24°

Hope this helps :)