Question 200679
two angles are complementary if the sum of their measures 90 degrees. Themeasure of the first angle is 5 degrees less than 4 times the second angle. What is the measure of the first angle.
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Let x = second angle
then
4x-5 = first angle
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x + 4x-5 = 90
x + 4x = 95
5x = 90
x = 18 degrees (second angle)
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First angle:
4x-5 = 4(18)-5 = 72-5 = 67 degrees (first angle)