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 Math Central Quandaries & Queries
 Question from Gautham: In trapezoid ABCD, sides AB and CD are parallel, angle A = 2angle D, and angle C = 3angle B. Find angle A.

Hi,

I drew a diagram of your trapezoid and extended $BA$ to a point $P.$

Since $AB$ and $DC$ are parallel what is the relationship between the interior angle at $D$ and the angle $PAD?$

Penny