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Question

The angle between the bisectors of two adjacent supplementary angles is

A
acute angle
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B
right angle
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C
obtuse angle
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D
none of these
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Solution

The correct option is B right angle
Consider two supplementary angles,
OBA+OBC=180
such that, MB bisects OBA and NB bisects OBC
OBA+OBC=180
12(OBA+OBC)=90
MBO+NBO=90
MBN=90
Thus, bisectors of two adjacent angles form a right angle between them.

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