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Question -

In тИЖABC, if тИаB = 60┬░, тИаC = 80┬░ and the bisectors of angles тИаABC and тИаACB meet at a point O, then find the measure of тИаBOC.



Answer -

In тИЖABC, тИаB = 60┬░, тИаC = 80┬░
OB and OC are the bisectors of тИаB and тИаC
тИ╡ тИаA + тИаB + тИаC = 180┬░ (Sum of angles of a triangle)
тЗТ тИаA + 60┬░ + 80┬░ = 180┬░
тЗТ тИаA + 140┬░ = 180┬░
тИ┤ тИаA = 180┬░- 140┬░ = 40┬░
┬а
= 90┬░ + тАУ x 40┬░ = 90┬░ + 20┬░ = 110┬░

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