opposite interior angles are congruent, so set them equal to each other and solve for x. 2x+8=x+34 is one of the two sets of congruent angles. subtract 8 from both sides for 2x=x+26. subtract x from both sides to get x =26. plug x back in to get the angle measures are 60° (top left and bottom right) and 120° (top right and bottom left).