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Consider the given parallelograms. Find the values of the unknowns x, y, z. - Mathematics

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Question

Consider the given parallelograms. Find the values of the unknowns x, y, z.

Sum

Solution

y = 112° (Opposite angles are equal)

x + y + 40° = 180° (Angle sum property of triangles)

x + 112° + 40° = 180°

x + 152° = 180°

x = 28°

z = x = 28° (Alternate interior angles)

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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 2.5 | Page 51

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