SOLUTION: The measure of the supplement of an angle is 30° less than five times the measure of the complement. Find two-fifths the measure of the complement.

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Question 1046461: The measure of the supplement of an angle is 30° less than five times the measure of the complement. Find two-fifths the measure of the complement.
Answer by MathLover1(20850) About Me  (Show Source):
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if an acute angle is A, then
the complement of an acute angle A is the angle 90-A°
the supplement of an acute angle A is the angle 180-A°
given:
The measure of the supplement of an angle is 30° less than five +times the measure of the complement; so, we have
%28180-A%29%2B30=5%2890-+A%29°
210-A=450-5A°
5A+-A=450+-210°
4A=240°
A=240%2F4°
highlight%28A=60%29°

the complement of an acute angle A is the angle 90-60=highlight%2830%29°

and two-fifths the measure of the complement is %282%2F5%2930=%282%2Fcross%285%291%29cross%2830%296=2%2A6=highlight%2812%29°