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In trapezoid ABCD, sides AB and CD are parallel, \(\angle{A}\) = \(2\angle{D}\), and \(\angle{C}\) = \(3\angle{B}\). Find \(\angle{A}\).

 Sep 12, 2018
 #1
avatar+98196 
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Since AB  and CD are parallel

 

Then angles A  and D are supplemental  ....so

 

A  + D   = 180

 

2D + D   = 180

 

3D  = 180

 

D   = 60

 

And  A   = 2D   = 2(60)   = 120°

 

 

 

cool cool cool

 Sep 13, 2018

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