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?

Question

1778 views around the world

You can reuse this answer
Creative Commons License

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#