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The Adjacent Figure Hope is a Parallelogram. Find the Angle Measures X, Y And Z. State the Properties You Use to Find Them. - Mathematics

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Question

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

Sum

Solution

y = 40° (Alternate interior angles)

70° = z + 40º (Corresponding angles)

70° − 40° = z

z = 30°

x + (z + 40º) = 180° (Adjacent pair of angles)

x + 70º = 180°

x = 110°

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Chapter 3: Understanding Quadrilaterals - Exercise 3.3 [Page 51]

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NCERT Mathematics [English] Class 8
Chapter 3 Understanding Quadrilaterals
Exercise 3.3 | Q 7 | Page 51

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