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Q.

In the given figure, two straight lines $AB$ and $CD$ intersect at a point $O$ and $∠ AOC$ = $50^{o}$ . Then, $∠ BOD$ =?

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a

40^{o}

b

50^{o}

c

130^{o}

d

60^{o}

answer is B.

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Detailed Solution

The given figure is,
Question Image

Question Image

A vertical angle and its adjacent angle are supplementary angles,
i.e., they add up to 180°.

∠ AOC = ∠ BOD

(vertically opposite angles)
Hence,

∠ AOC = ∠ BOD = 50 °

So,

∠ BOD = 50 °

.
Therefore, option 2 is the right answer.

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In the given figure, two straight lines AB and CD intersect at a point O and ∠AOC= 50o. Then, ∠BOD =?