SOLUTION: The average (arithmetic mean) of the measures of angle x, its complementary angle, and its supplementary angle is 80 degrees. what is the measure of the complement of angle x? I

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Question 492125: The average (arithmetic mean) of the measures of angle x, its complementary angle, and its supplementary angle is 80 degrees. what is the measure of the complement of angle x?
It would also help if you could explain how to get the answer.
Answer by lwsshak3(11628) About Me  (Show Source):
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The average (arithmetic mean) of the measures of angle x, its complementary angle, and its supplementary angle is 80 degrees. what is the measure of the complement of angle x?
It would also help if you could explain how to get the answer.
**
let x=angle
90-x=angle's complement
180-x = angle's supplement
...
average of the three angles as stated:
[x+(90-x)+(180-x)]/3=80
(x+90-x+180-x)/3=80
(-x+270)/3=80
-x+270=3*80=240
-x=-30
x=30
ans:
The measure of the complement of angle x=90-x=90-30=60º