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Question

Which of the following pairs of angles are supplementary?


A

65°,115°

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B

63°,27°

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C

112°,68°

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D

130°,50°

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E

45°,45°

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F

80°,10°

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Solution

The correct option is D

130°,50°


Step 1. Explanation for the correct option.

If the sum of two angles is 180°, then they are called supplementary angles.

sum of the angles

=65°+115°=180°

sum of the angles

=112°+68°=180°

sum of the angles

=130°+50°=180°

Hence angles 65°,115°, 112°,68° and 130°,50° are supplementary.

Step 2. Explanation for the correct options.

sum of the angles

63°+27°=90°45°+45°=90°80°+10°=90°

So, these angles are not supplementary.

Hence, the correct options are A,CandD.


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