Question

In the figure shown, line AB is parallel to line CD. Part A: What is the measure of angle x? Show your work. (5 points)

Answer 1

a) ∠PQR=65° (alternate interior angles theorem)

∠PRQ = 60° (linear pair)

x = 55° (angles in a triangle add to 180°)

b) ∠APQ and ∠PQR are congruent alternate interior angles.