SOLUTION: Find the measure of the smaller angle of complementary angles, if the measure of the larger angle is (5x+18)* and the measure of the smaller angle is half the larger. * - degree

Algebra ->  Angles -> SOLUTION: Find the measure of the smaller angle of complementary angles, if the measure of the larger angle is (5x+18)* and the measure of the smaller angle is half the larger. * - degree      Log On


   

Question 467538: Find the measure of the smaller angle of complementary angles, if the measure of the larger angle is (5x+18)* and the measure of the smaller angle is half the larger.
* - degrees.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find the measure of the smaller angle of complementary angles, if the measure of
the larger angle is (5x+18)* and the measure of the smaller angle is half the larger.
:
Angles that are complementary add up to 90 degrees
therefore
If we subtract the larger angle from 90, we get the smaller angle
:
90 - (5x+18) = .5(5x+18)
90 - 5x - 18 = 2.5x + 9
90 - 18 - 9 = 2.5x + 5x
81 = 7.5x
x = 63%2F7.5
x = 8.4
:
Find the larger angle:
5(8.4) + 18 =
42 + 18 = 60 degrees is the larger angle
:
Find smaller which is given as half the larger
.5(60) = 30 degrees is the smaller angle
:
:
If we did this right the two angles should add up to 90, and they do