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Question -

If the bisectors of the acute angles of a right triangle meet at O, then the angle at O between the two bisectors is
(a) 45┬░
(b) 95┬░
(c) 135┬░
(d) 90┬░



Answer -

In right тИЖABC, тИаA = 90┬░
┬а
Bisectors of тИаB and тИаC meet at O, then 1
тИаBOC = 90┬░ +┬а┬атИаA
= 90┬░+┬а ┬аx 90┬░ = 90┬░ + 45┬░= 135┬░ (c)

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