MATH SOLVE

4 months ago

Q:
# 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

Accepted Solution

A:

Answer: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.