Find the measure of the three angles.

Question

The largest angle of a triangle measures 7 degrees less than 6 times the measure of the smallest angle. The middle angle measures four times that of the smallest angle.

Answer 1

A = smallest

B = middle = 4A

C = largest = 6A - 7

 

A + B + C = 180

 

A + (4A) + (6A - 7) = 180

 

11A = 187

 

A = 187/11 = 17°

 

B = 4A = 4(17) = 68°

 

C = 6A - 7 = 6(17) - 7 = 95°