What is the measure of the larger of two complementary angles if the measure of one angle is five times the measure of the other angle?

2 Answers By Expert Tutors

Andrew M. answered • 03/09/17

Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

Complementary angles add to 90 degrees.

4x = 4(90/5) = ______ degrees

Kenneth S. answered • 03/09/17

Expert Help in Algebra/Trig/(Pre)calculus to Guarantee Success in 2018

one angle is x, other is 4x, total 5x = 90 deg.  Get it?

You can put this solution on YOUR website!

Two angles: a & b. They are complementary, so a + b = 90 . One angle is 5 times the other. . a = 5b . substitute a=5b . 5b + b = 90 6b = 90 b = 15 . a + b = 90 a = 90 -15 a = 75 . Answer: The two angles are 15 and 75 degrees. .

Done.

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