∠x = 73° ∠y = 73° ∠z= 73°
Work Step by Step
∠x is vertical angles with the angle that measures 73°. As vertical angles have the same measure, ∠x is equal to 73°. ∠x and ∠y are alternate interior angles. As lines M and N are parallel, ∠x and ∠y have the same measure. Therefore, ∠y = 73°. Finally, ∠y and ∠z are vertical angles. As vertical angles have the same measure, and as ∠y is 73°, ∠z must also equal 73°.