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Segment BD and AE intersect at C, as shown, AB=BC=CD=CE, and \angle A = 2 \angle B. What is the degree measure of angle D?

 

 Jul 4, 2022
 #1
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Since AB = BC  then angle   A =  C

 

So

 

A + B + C  = 180

 

2B + B + 2B  =180

 

5B =  180

 

B =   36

 

And angle C =   2 * 36 =  72° 

 

And since CE = CD  then  angles   D and E are equal

 

So

 

D  = (180 - 72)  / 2   =   108  / 2  =    54°

 

 

cool cool cool

 Jul 4, 2022

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