Answer to Question #389 in Geometry for Bobert

Question

∠B = (1/2)*∠A;
∠C = ∠B+40°;
∠D = 1/3*∠C;
If ∠D = 35°, what is the measure of ∠A?

Answer 1

∠C = 3*∠D = 3*35° = 105°;
∠B = ∠C-40° = 105°-40° = 65°;
∠A = 2*∠B = 2*65° = 130°;