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in Lines and Angles by (56.3k points)

In Fig., AB ∥ CD. Find the values of x, y, z.

1 Answer

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Best answer

Given that AB ∥ CD

Linear pair,

∠x + 125° = 180°

∠x = 180° – 125°

∠x = 55°

Corresponding angles

∠z = 125°

Adjacent interior angles

∠x + ∠z = 180°

∠x + 125° = 180°

∠x = 180° – 125°

∠x = 55°

Adjacent interior angles

∠x + ∠y = 180°

∠y + 55° = 180°

∠y = 180° – 55°

∠y = 125°

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