SOLUTION: two angles are complementary. the larger angle exceeds three times the smaller by 38°. what is the measure of each angle?

Algebra.Com
Question 1188611: two angles are complementary. the larger angle exceeds three times the smaller by 38°. what is the measure of each angle?
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

Two angles are called complementary when their measures add to °.
let the larger angle be and the smaller angle

..........eq.1

if the larger angle exceeds times the smaller by °, we have

.........eq.2

substitute in eq.1

..........eq.1, solve for


°

go to
.........eq.2, substitute

°

RELATED QUESTIONS

Two angles are complementary. If twice the smaller is increase by 32, the result is the... (answered by ewatrrr)
two angles are complementary. the measure of the larger is 10 times more than 4 times the (answered by arKed,MathTherapy)
Two angles are complementary. (Complementary angles are two angles whose sum is 90°.) The (answered by Fombitz)
Two angles are complementary. The larger angle measures three degrees less than twice the (answered by rfer)
two angles are complementary. the measure of the larger angle is five times the measure... (answered by jorel1380)
two angles are complementary. The measure of the larger angle is 5 times the measure of... (answered by oberobic)
Two angles are complementary. The measure of the larger angle is five times the measure... (answered by colliefan)
Two angles are complementary. The measure of the larger angle is five times the measure... (answered by mananth,ikleyn,josgarithmetic)
Two angles are complementary. The measure of one angle exceeds two times the measure of... (answered by josgarithmetic,lwsshak3)