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Segment BD and AE intersect at C, as shown, AB=BC=CD=CE, and angle A = 3 angle B. What is the degree measure of angle D?

 

 
 Aug 5, 2022
 #1
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Since AB = BC, then angles A and C are equal

 

So

 

A + B + C   =180

 

3B + B + 3B  =180

 

7B   = 180

 

B  = 180  / 7

 

C  =  3 (180/7)  =  540/7 degrees

 

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

 

So

 

C + D + E  =180

 

(540/7) + D + D  = 180

 

2D  =  180 - 540/7

 

2D  = 720  / 7

 

D =  720   / 14 degrees   ≈    51.43°

 

cool cool cool

 
 Aug 5, 2022

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