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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?

 Mar 18, 2024
 #1
avatar+128406 
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x  + 2x + 10  + 3(2x + 10) - 10   = 180

 

9x  + 30  =  180

 

9x  =  150

 

x = (50/3)°    smallest angle

(130/3)°  =  next  smallest angle

(360/3)° = 120°  =   largest angle

 

 

cool cool cool

 Mar 18, 2024

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