<PRE><B>Question 316291</B>
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
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Two angles are complementary if the sum is 90.
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Let x = first angle
then
90-x = second angle
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x + (1/4)(90-x) = 75
4x + (90-x) = 300
3x + 90 = 300
3x = 210
x = 70
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second angle:
90-x = 90-70 = 20
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The measeasure of the two angles are
20 degs and 70 degs
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