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A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

# The adjacent figure HOPE is a parallelogram. Find the angle measures x, y and z. State the properties you use to find them

**Solution:**

According to the given figure,

∠HOP + 70° = 180° since they form 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°

**☛ Check: **NCERT Solutions for Class 8 Maths Chapter 3

**Video Solution:**

## The adjacent figure HOPE is a parallelogram. Find the angle measures x, y and z. State the properties you use to find them.

NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.3 Question 7

**Summary:**

The adjacent figure HOPE is a parallelogram. The angle measures of x is 110°, y is 40° and z is 30°.

**☛ Related Questions:**

- The following figures GUNS and RUNS are parallelograms. Find x and y. (Lengths are in cm)
- In the above figure both RISK and CLUE are parallelograms. Find the value of x.
- Explain how this figure is a trapezium. Which of its two sides are parallel? (Fig 3.32)
- Find m∠C in the figure below if AB is parallel to DC.

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