Two angles are complementary. The sum of the measure of the first angle and half the second angle is 75.5. What are the measures of the angles?

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Answer 1 · 2016-01-01T04:23:20

#61^o# and #29^o#

Because they are complementary:
#x+y=90# => #x=90-y#

Other relation between the angles:
#x+y/2=75.5#

Replacing x in the last expression for its value in the first expression:
#90-y+y/2=75.5#
#-y/2=-14.5# => #y=29#
Since #x=90-y# => #x=90-29=61#