Question

The smallest angle in a triangle measures 9 degrees less than the middle angle. The largest angle is 26 degrees more than 3 times the measure of the smallest angle.

Answer 1

Explanation:

A+B+C = 180°

A ≤ B ≤ C

B = A+9

C = 3A+26

A+B+C = A + (A+9) + (3A+26) = 5A + 35° = 180°

5A = 145°

A = 29°

B = A+9 = 38°

C = 3A+26 = 113°