Question

Alex wants to construct a line segment through R that makes the same angle with line segment QR as line segment PQ. The figure below shows a step to construct a congruent angle at R:

Answer 1

Answer : To construct a line segment through R which would have the same angle with line segment QR . With the co-relation of segment QR which is same to segment PQ which means that angle Q and angle R are corresponding angles.

So, to construct the same angle with the segment keep the pointed compass end on R by measuring the same distance at the angle Q. Just draw the curve at R and there you are.

Answer 2

I found the corresponding images of this question. Please see attachment. I have also identified my answer on the attachment.