Math, asked by sushilakharadi393, 1 month ago

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

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Answers

Answered by v4vinssj5
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

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