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Plz help on this quick!

 

In triangle $ABC$, the measure of $\angle A$ is $86$ degrees. The measure of $\angle B$ is $22$ degrees more than two times the measure of $\angle C$. What is the measure, in degrees, of $\angle C$?

 Aug 3, 2023
 #1
avatar+128732 
+1

Let angle C =  x

Then angle B = 2x + 22

 

The angles sum  to 180....so....

 

A +  B + C  =180

 

86   + 2x + 22  + x = 180

 

3x + 108 = 180

 

3x = 180 - 108

 

3x =72

 

x = 72 / 3

 

x = 24 = angle C

 

cool cool cool

 Aug 4, 2023

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