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

tertre  May 19, 2017
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 #1
avatar+8629 
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In trapezoid ABCD , sides AB and CD  are  parallel,   Find \(\delta \)

 

laugh

Omi67  May 19, 2017
 #2
avatar+75301 
+1

 

 

Since AB is parallel to CD, then

 

A + D   = 180   and

 

B + C  = 180

 

Then

 

2D + D  =  180

3D  =  180

D  =  60°

 

And 

 

B + 3B  = 180

4B  =  180

B = 45°

 

 

cool cool cool

CPhill  May 19, 2017

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