SOLUTION: Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 60.75. What is the measure of the smaller angle & what is the measure of
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Question 151328: Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 60.75. What is the measure of the smaller angle & what is the measure of the other? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 60.75. What is the measure of the smaller angle & what is the measure of the other?
:
Let the two angles = x & y
:
"Two angles are complementary."
x + y = 90
x = 90 - y
:
" The sum of the measure of the first angle and one-fourth the second angle is 60.75."
x + .25y = 60.75
:
Substitute (90-y) for x in the above equation
(90-y) + .25y = 60.75
:
-1.0y + .25y = 60.75 - 90
:
-.75y = -29.25
y =
y = 39 degrees is the smaller angle
then
x = 90 - 39 = 51 degrees
:
:
Check solution in the statement:
"The sum of the measure of the first angle and one-fourth the second angle is 60.75.
51 + .25(39) =
51 + 9.75 = 60.75
