PATH PROBLEMS

1. Given a line AB with points P and Q in the same half plane determined by line AB.

Constuct a path of segments PX and XQ with X on AB such that angle PXA = angle QXB

Hint?

2. Given a line AB with points P and Q in the same half plane determined by line AB.

Constuct a path of segments PX and XQ with X on AB such that angle PXA = 2(angle QXB).

Hint?