The adjacent figure HOPE is a parallelogram. Find the angle measures x, y and z. State the properties you use to find them
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°
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
The adjacent figure HOPE is a parallelogram. The angle measures of x is 110°, y is 40° and z is 30°.
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