Question

CE and BD are angle bisectors of △ABC which intersect at point F. If ∠BFC=110°, find the measure of ∠A.

Answer 1

∠A=40°

Explanation:

Equation 1: ∠A+∠B+∠C=180°

Equation 2: ∠B/2+∠C/2+110°=180°

2(Equation 2): ∠B+∠C+220°=360°

∠B+∠C=140°

Equation 1 - 2(Equation 2): ∠A=40°

Therefore, ∠A=40°