Question -
Answer -
Given : In тИЖABC, OB and OC are the bisectors of тИаB and тИаC and тИаBOC = 135┬░
┬а
To prove : тИЖABC is a right angled triangle
Proof: тИ╡ Bisectors of base angles тИаB and тИаC of the тИЖABC meet at O
тИ┤ тИаBOC = 90┬░+┬а
┬атИаA But тИаBOC =135┬░
тИ┤ 90┬░+┬а┬а┬атИаA = 135┬░ тЗТ┬атИаA= 135┬░ -90┬░ = 45┬░ тИ┤ тИаA = 45┬░ x 2 = 90┬░
тИ┤ тИЖABC is a right angled triangle