Internal bisector of angle Q and angle R of triangle PQR intersect at O. If ROQ is 96 degree, than value of angle RPQ


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In triangle PQR let

in triangle OQR,
so x+y = 180-96 = 84
In triangle PQR

so 180 - 2*84 = 12


In triangle PQR let
angle Q = 2x and angle R=2y
angle OQR = x , and angle ORQ =y (as OR and OQ are angle bisectors)

in triangle OQR,
angle O = 96
so x+y = 180-96 = 84
In triangle PQR angle p = 180-(2x+2y)
so 180 - 2*84 = 12


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