Browse · MATH Print → jmc prealgebra senior Problem In trapezoid ABCD, sides AB and CD are parallel, ∠A=2∠D, and ∠C=3∠B. Find ∠A. Solution — click to reveal Since AB∥CD, we have ∠A+∠D=180∘. Since ∠A=2∠D, we have 2∠D+∠D=180∘, so 3∠D=180∘, which means ∠D=60∘. Therefore, ∠A=2∠D=120∘. Final answer 120^\circ ← Previous problem Next problem →