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Question

Angles that are both supplementary and vertically opposite are


A

95°,85°

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B

90°,90°

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C

100°,80°

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D

45°,45°

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Solution

The correct option is B

90°,90°


We know that two angles are said to be supplementary angles if the sum of their measures is 180°.

Let's consider one angle is x°.

Then another angle is also x°. (Since both the angles are vertically opposite angles and vertically opposite angles are equal to each other.)

Now x°+x°=180° (Since both the angles are supplementary angles)

2x°=180°x°=180°2x°=90°

Hence the required angles are 90°,90°

Therefore option (B) is correct.


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