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Find the angles which are both supplementary and vertically opposite angles.

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95^{o}, 85^{o}

90^{o}, 90^{o}

100^{o}, 80^{o}

45^{o}, 45^{o}

answer is B.

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Detailed Solution

We know, vertically opposite angles are equal and sum of supplementary angles is

180

°.
Let one angle be

y

.
Then the other angle is alse

y

.
Considering both the angles as supplementary.

y + y = 180^{o}

⇒

2 y = 180^{o}

⇒

y = 90^{o}

Therefore, the required angles are

90^{o}

and

90^{o}

.
Hence, the correct option is 2.

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