SOLUTION: Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 76.5 degrees. Find the measures of the angles. What is the measure of
Algebra.Com
Question 240708: Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 76.5 degrees. Find the measures of the angles. What is the measure of the smaller angle?
What is the measure of the other angle?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let
represent the measure of one of the angles
Let
represent the measure of the other angle
Because they are complementary:
degrees
Because of the other given:
degrees
Solve the system for
and
to get the measures of the angles.
John

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 atre complementary. The sum of the measure of the first angle and one-fourth... (answered by nerdybill)
Two angles are complementary. The sum of the measure of the first angle and half the... (answered by solver91311)
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- 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)