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Two angels are supplementary. One angle is 3 less than four times the other. Find the measures of the angles

 Jan 24, 2020
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Two angels are supplementary. One angle is 3 less than four times the other. Find the measures of the angles

 

 

Call one of the angles X                      

Call the other angle 4X – 3              This is 3 less than 4 times the X angle.     

Added together they total 180o       That's what supplementary means.        

 

                                                         X + 4X – 3  =  180o        

 

Combine the X's and         

add 3 to both sides                                       5X  =  183o                

Divide both sides by 5                                     X  =   36.6o      This is one angle.       

 

The other angle is 4X – 3          (4 • 36.6o) – 3o  =  143.4o     This is the other angle.                

.

 Jan 24, 2020

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