Question

The angles in a triangle are such that the measure of one angle is 20° more than the measure of the smallest angle, while the measure of the third angle is three times the measure of the smallest angle. Find the measures of all three angles. Please tell me how you got this.

Answer 1

Let the smallest angle be x.
The other angles are x + 20 and 3x.

Sum of these angles add up to 180:
x + x + 20 + 3x = 180
5x + 20 = 180
5x = 180 - 20
5x = 160
x = 32

Find the angles:
x = 32
x + 20 = 32 + 20 = 52
3x = 3 x 32 = 96

Answer: The angles are 30°, 52° and 96°