Question

In a triangle, the second angle is twice the measure of the first, and the third angle is three times the measure of the second. What is the measure of the third angle?

Answer 1

Third angle = 120 degrees

Explanation:

All the angles add up to 180 degrees.

Call the smallest angle `x`, so the second will be `2x` and as the third is three times the second it will be `6x`. We have:

`x + 2x + 6x = 180`

`9x = 180 implies x = 20`

The third angle is `6x = 120`