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In trapezoid ABCD, sides AB and CD are parallel, angle A = angle D, and angle C = 3 times angle B. Find angle B.

 Mar 27, 2020
edited by amphat100  Mar 27, 2020
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In trapezoid ABCD, sides AB and CD are parallel, angle A = angle D, and angle C = 3 times angle B. Find angle B.

 

Trapezoid ABCD is the right trapezoid because its two angles are the right angles.

 

A = ∠D = 90°

∠B : ∠C =  1 : 3

∠B = 1/4 * 180° = 45°

∠C = 3/4 * 180° = 135°   indecision

 Mar 27, 2020
edited by Dragan  Mar 28, 2020

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