Question

In the figure HOPE is a parallelogram . find the angle measure of angles X, y and z​

Answer 1

Answer:

110⁰, 40⁰, 30⁰

Step-by-step explanation:

Properties of a parallelogram include:

• Opposite angles are equal.
• Opposite sides are parallel.

angle PHE = angle HPO (alternate interior angles)

40⁰ = y

y = 40⁰

Exterior angle of ∆HOP is equal to sum of two interior angles opposite to it.

70⁰ = y + z

40⁰ + z = 70⁰

z = 30⁰

x = angle HOP = 180⁰ - 70⁰ = 110⁰