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Triangle ABC is isosceles with angle B congruent to angle C. The measure of angle C is four times the measure of angle A plus 9 degrees. What is the number of degrees in the measure of angle B?

 Apr 19, 2021
 #1
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Is there a graph?

 Apr 19, 2021
 #2
avatar+118505 
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Let  the measure of angle A =  x

 

And  the  measures  of  angle B and C =   4x  + 9

 

So

 

A  + B + C  =180        .......so.....

 

x + (4x + 9) + (4x + 9)  = 180        simplify

 

9x + 18  =180

 

9x  =180 - 18

 

9x = 162

 

x = 162  / 9 =  18

 

So...angle B  = angle C = 4 (18)  +  9  =   81°

 

 

cool cool cool

 Apr 19, 2021

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