Naomi draws a portion of a figure as shown. She wants to construct a line segment through R that makes the same angle with line segment QR as line segment PQ, as shown below: (First image)
Which figure shows the next step to construct a congruent angle at R?
(second image)

C

Step-by-step explanation:

Using a ruler in A and D is wrong because it will give you the wrong value of the angle. The compass needs to be used, and B is wrong because it is not measuring the angle.

arc length = radius * x ( in radians)

6 * pi = 18 * x

divide by 18 on each side

6 pi / 18 = x

pi/3 = x

the angle is pi / 3 radians

or   60 degrees