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in Quadrilaterals by (49.3k points)
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In the figure, ABCD is a parallelogram. Find x, y, z.

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∠Y = 112° (opposite angles are equal)

In ADC, ∠x + ∠y + 40 = 180° (sum of angles in a triangle)

∠x + 112° + 40° = 180°

∠x = 180° – 152° = 28°

∠z = 28°(transversal alternate interior angles are equal).

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