# Answer to Question #389 in Geometry for Bobert

Question #389

∠B = (1/2)*∠A;

∠C = ∠B+40°;

∠D = 1/3*∠C;

If ∠D = 35°, what is the measure of ∠A?

∠C = ∠B+40°;

∠D = 1/3*∠C;

If ∠D = 35°, what is the measure of ∠A?

Expert's answer

∠C = 3*∠D = 3*35° = 105°;

∠B = ∠C-40° = 105°-40° = 65°;

∠A = 2*∠B = 2*65° = 130°;

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