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The measure of the second angle of a particular triangle is $10^{\circ}$ more than twice the measure of the first angle and the measure of the third angle is $10^{\circ}$ less than three times the measure of the second angle. In degrees, what is the measure of the largest angle in the triangle?

 Jun 4, 2024
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(x)  + (2x + 10)  + 3(2x +10)  - 10 =  180

 

x + 2x + 10 + 6x + 20  = 180

 

9x + 30  =180

 

9x = 150

 

x = 150/9  = 50 / 3

 

Largest angle =     6(50/3) + 20  =  120°

 

 

cool cool cool

 Jun 4, 2024

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