SOLUTION: Two angles are complementary. The sum of the measure of the first aqngle and one-fourth the second is 75 degrees.Find the measuresof the angles. What is the measureof the smaller a

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Question 316291: Two angles are complementary. The sum of the measure of the first aqngle and one-fourth the second is 75 degrees.Find the measuresof the angles. What is the measureof the smaller angle and the other angle
Answer by nerdybill(7384) About Me  (Show Source):
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Two angles are complementary. The sum of the measure of the first aqngle and one-fourth the second is 75 degrees.Find the measuresof the angles. What is the measureof the smaller angle and the other angle
.
Two angles are complementary if the sum is 90.
.
Let x = first angle
then
90-x = second angle
.
x + (1/4)(90-x) = 75
4x + (90-x) = 300
3x + 90 = 300
3x = 210
x = 70
.
second angle:
90-x = 90-70 = 20
.
The measeasure of the two angles are
20 degs and 70 degs