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In ?ABC,AD and CE are the bisectors of angle A and angle C respectively.AD and CE intersect at O.If Angle ABC=90Â°,then find angle AOC.

Answers (1)

D Deependra Verma

As we can see from the figure given above
$angle AOC=$ Exterior angle of traingle $AOE$
$Rightarrow angle EAO+angle AEO$
$Rightarrow fracA2+Exterior, angle, of, traingle, EBC$
$Rightarrow fracA2+B+fracC2=B+frac(A+B)2$
$Rightarrow 90+frac902=135^circ$
$Rightarrow A+B=90, as, ABC, is, a, right, angled, triangle$

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