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Condition for Two Lines to Be Parallel

In the given ...

Question

In the given figure AB $∥$ CD, Find the value of x

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Solution

$S i n c e A B ∥ C D ∠ B A D = ∠ C D A = z ∠ B A D = z = 75 △ C O D z + y + 35 = 180 75 + y + 35 = 180 (A n g l e s u m p r o p e r t y) y + 110 = 180 y = 70 ∠ y = ∠ r = 70 (v e r t i c a l l y o p p o s i t e a n g l e) I n △ A O B ∠ x + ∠ r + 145 = 180 ∠ x = 35$ \\

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Condition for Two Lines to Be Parallel

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