Question

The adjacent figure HOPE is a parallelogram. Find the angle measures H O P E z 70° 40° y x x, y and z. State the properties you use to find them.​

Answer 1

Step-by-step explanation:

a linear pair

∠HOP = 180° - 70°

∠HOP = 110°

∠O = ∠E since opposite angles in a paralellogram are equal

Thus, x = 110°

∠EHP = ∠HPO since they are alternate interior angles

Thus, y = 40°

z + 40° = 70° since they form corresponding angles

z = 70° - 40°

z = 30°

Thus, x = 110°, y = 40°, z = 30°