Question

In a triangle, one angle is twice the measure of the second angle. The third angle is three times the measure of the second angle. Find the measure of eah angle.

Answer 1

Since the angles are all compared to the second angle, let x (also known as 1x)= 2nd angle; therefore first angle which is twice the second = 2x and the third angle which is three times the second = 3x. All angles of a triangle have a sum of 180 degrees.
1x + 2x + 3x = 180
now combine like terms and equation solve for x.