He wants sides AB and CD to be parallel. He also wants the measure of angle A to be five times that of angle D. Explain how he can find the correct measures of these two angles.

Question

The ramp is a trapezoid with a long ramp that can look like a transversal when line AB is extended. Line DA creates the transversal.

Answer 1

AB and CD are parallel, they have the same slope m₁ = m₂ = 2/3. Becouse ∠A + ∠D = 180° and ∠A = 5∠D.

5∠D + ∠D = 180°, 6∠D = 180°, ∠D = 30° and ∠A = 150°.