Question

Find the missing angle

Answer 1

x = 28°, y = 112°, z = 28°

Explanation:

suppose it's a parallelogram,

in a parallelogram, opposite angles are congruent: y = 112°

40 + 112 + x = 180

=> x = 28°

If 2 lines are cut by a transversal, then the alternate interior angles are congruent: x = z => 28° = z

Answer 2

If this is a parallelogram:

∠y = 112°

corners opposite the 112° corners = 68° [(360° - 112° - 112°)/2 = 68°]

∠z = 68° - 40° = 28°

∠x = ∠z = 28°