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Question

The angle between the bisectors of two adjacent supplementary angles is a right angle.


A

True

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B

False

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Solution

The correct option is A

True


Let A and B be adjacent supplementary angles as shown in the figure.


Then, A+B=180
The bisectors of the angles are drawn. We have to find 1+2.
1+2=(A2+B2)
=1802=90
Hence, the angle between the bisectors of adjacent supplementary angles is 90.


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