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In convex pentagon ABCDE, angles A, B and C are congruent and angles D and E are congruent. If the measure of angle A is 50 degrees less than the measure of angle D, what is the measure of angle D?

 Dec 4, 2020
 #1
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The sum of the interior angles  = 540°

 

Let A, B , C  =   D - 50

And let  E  = D

 

So we have

 

A + B + C + D + E   =540

 

(D -50) + (D -50)  + (D -50)  + D + D  =  540

 

5D  - 150  = 540

 

5D = 690

 

D  = 690 / 5  =   138°

 

 

cool cool cool

 Dec 4, 2020

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