Question

The measure of the supplement of an angle is 20° More than three times the measure of the original angle. Find the measures of the angles

Answer 1

The measure of the supplement of an angle is 20° More than three times the measure of the original angle. The angles are 40 degrees and 140 degrees.

Solution:

Given, The measure of the supplement of an angle is 20° More than three times the measure of the original angle.

We have to Find the measures of the angles.

Let the original angle be n degrees.

We know that, sum of supplementary angles is 180, then, supplementary angle of n will be 180 – n.

Now according to the given information, 180 – n = 20 + 3 x n

180 – n = 20 + 3n

3n + n = 180 – 20

4n = 160

n = 40

Then, supplementary angle is 180 – 40 = 140 degrees.

Hence, the measures of two supplementary angles are 40 degrees and 140 degrees.