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Question

In the adjoining figure AB || CD, If ∠1 : ∠2 = 3 : 2, then ∠6 is:-


A

72°

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B

36°

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C

108°

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D

144°

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Solution

The correct option is A

72°


Let 1 and 2 be 3x and 2x

As we know angle on a straight line is 180

so, 3x + 2x = 180

⇒ 5x = 180

⇒ x = 36

6 = 2 (∠6 and ∠2 are corresponding angles)

6 = 2x = 2 × 36 = 72

hence 6 = 72


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