Question

In the given figure, Δ ABC is an isosceles triangle, / A = 300, then m (arc AQC) =?
a) 240° b) 120° c) 60° d) 15°

Answer 1

△ABC is an isosceles triangle.

 ∴∠B=∠C=50o

∠BAC=180−50−50=80o

∠BAC=∠BDC=80o (angles on circle by the same chord on the same segment are equal)

∠BEC is supplementary angle of ∠BAC

∴∠BEC=180−∠BAC=180−80=100o

Answer 2

hope it would be helpful