Question

One angle of a triangle is three times as large as another. the measure of the third angle is 65 degrees more than that of the smallest angle. find the measure of each angle.

Answer 1

Let the smaller angle be x.

smaller = x
larger = 3x
known angle = 65°

All angles add up t10 180:
x + 3x + 65 = 180
4x + 65 = 180
4x = 115
x = 28.75

Smaller angle = 28.75
Larger angle = 86.25

Answer: The angles are 28.75° and 86.25°