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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 ∆ABC, ∠A = 90°
 
Bisectors of ∠B and ∠C meet at O, then 1
∠BOC = 90° +  ∠A
= 90°+   x 90° = 90° + 45°= 135° (c)

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