The largest angle of a triangle is 5 times as large as the smallest angle. The third angle is 12 degrees more than the smallest angle. Find the measure of all three angles.

the angle in ascending order is 24°, 36° and 120°

Step-by-step explanation:

The largest angle of a triangle is 5 times as large as the smallest angle

The third angle is 12 degrees more than the smallest angle.

let the smallest angle be x

the largest angle is 5x

the third angle is (12+x)

the sum of angles in a triangle is 180°

x + 5x + (12+x) = 180

x+5x + 12+x = 180

7x+12 = 180

7x = 180 - 12 = 168

x = 168/7 = 24°

the smallest angle is 24°

the largest angle is 5x = 5 x 24 = 120°

the third angle is 12 + x = 12+24 = 36°