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

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Question

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

Sum
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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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