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in Quadrilaterals by (49.3k points)
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In a parallelogram ABCD, find x, y, z from the adjoining figure.

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Best answer

ABCD is a parallelogram,

∠C = 45° (Opposite angles are equal)

∠C + Z = 180° (linear pair)

Z = 180° – 45° = 135°

45° + Y = 180° (sum of the angles on the same side is 180°)

Y = 180° – 45° = 135°

since Y = 135°

X = 135°(Opposite angles are equal)

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