Clash of clans

Explain how you can use a straightedge and a compass to construct an angle that is both congruent and adjacent to a given angle. I think the answer is that you use the straightedge to draw two parallel lines and then you draw a line that goes through them...

4r + 6d = 152 4r + 3d = 92 6d + 4r = 152 3d + 4r = 92 6d + 4r - (3d + 4r) = 152 - 92 6d + 4r - 3d - 4r = 152 - 92 6d - 3d = 152 - 92 d = 20 3 * 20 + 4r = 92 r = 8