Question 7: In ∆ABC, bisectors of ∠A and ∠B intersect at point O. If ∠C = 70° . Find measure of ∠AOB.
Question 7: In ∆ABC, bisectors of ∠A and ∠B intersect at point O. If ∠C = 70° . Find measure of ∠AOB.
Answer:
If the bisectors of ∠X and ∠Y of a △XYZ intersect at point O, then ∠XOY=90°+12∠XZY ∴∠AOB=90°+12∠ACB=90°+12(70°) = 90∘ + 35∘ = 125∘ Hence, the measure of ∠AOB is 125∘.