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In triangle ABC, the measure of angle B is three times the measure of angle A. The measure of angle C is 23 degrees less than the measure of angle B. What is the measure of each angle?

 Feb 11, 2020
 #1
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Let  angle  A  =  x

 

Let angle B = 3x

 

Let angle C = 3x - 23

 

And the sum of these   =180

 

So

 

x  +  3x  +  ( 3x - 23)    =180      simplify

 

7x  -  23  =  180            add 23 to both sides

 

7x  =  203                divide both sides by 7

 

x  = 29°  = angle A

 

3(29) = 87°  = angle B

 

3(29)  - 23  = 64° =  angle C

 

 

cool cool cool

 Feb 11, 2020

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