SOLUTION: Two angles atre complementary. The sum of the measure of the first angle and one-fourth the second angle is 69 degrees. Find the measure of the angles.

Question 191952: Two angles atre complementary. The sum of the measure of the first angle and one-fourth the second angle is 69 degrees. Find the measure of the angles.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Two angles atre complementary. The sum of the measure of the first angle and one-fourth the second angle is 69 degrees. Find the measure of the angles.
.
Two angles are complementary if their sum equals 180 degrees.
.
Let x = measure of second angle
then
180-x = measure of first angle
.
(180-x) + (1/4)x = 69
720 - 4x + x = 276
720 - 3x = 276
-3x = -444
x = 148 degrees (second angle)
.
First angle:
180-x = 180-148 = 32 degrees (first angle)

RELATED QUESTIONS
Two Angles are complementary. The sum of the first angle and one-fourth the second angle... (answered by ankor@dixie-net.com)

Two angles are complementary. The sum of the measure of the first angle and half the... (answered by Theo)

Two angles are complementary. The sum of the measure of the first angle and one- fourth... (answered by mananth)

Two angles are complementary, the sum of the measure of the first angle and one forth the (answered by robertb)

Two angles are complementary. The sum of the measure of the first angle and one-fourth... (answered by mananth)

two angles are complementary. the sum of the measure of the first angle and half the... (answered by lwsshak3)

Two angles are complementary. The sum of the measure of the first angle and one-fourth... (answered by ankor@dixie-net.com)

Two angles are complementary. The sum of the measure of the first angle and one-fourth... (answered by jim_thompson5910)