Two angles are complementary. The measure of the large angle is 5 times the measure of the smaller angle. What is the degree measure of the large angle?

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Answer 1 · 2015-12-24T05:51:26

#75^@#

Two angles are complementary if they sum to #90^@#. Let #l# be the large angle. Then as the small angle is one fifth the large angle, we have

#l + l/5 = 90^@#

#=> 6/5l = 90^@#

#=> l = 5/6*90^@#

#=> l = 75^@#