Angles Associated with Two Parallel Lines and a Transversal
Angles which ...
Question
Angles which 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 B90∘,90∘ If two angles are supplementary, their sum is 180∘. Also vertically opposite angles are equal. Let x be one of the angles. Then the other angle is also x. So,x+x=180∘ ⇒2x=180∘ ⇒x=180∘2=90∘