SOLUTION: The average of the measures of angle X, it's complementary angle, and it's supplementary angle is 80 degrees. What is the measure of the complement of angle X? A. 30 B.60 C.90

Question 1006283: The average of the measures of angle X, it's complementary angle, and it's supplementary angle is 80 degrees. What is the measure of the complement of angle X?
A. 30
B.60
C.90
D.120
E.180
Found 2 solutions by Boreal, ankor@dixie-net.com:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
complement of x= 90-x
supplement of x=180-x
The sum of x+90-x+180-x=-x+270
average of those is (-x/3)+90
That equals 80
-(x/3)=-10
x=30
complement of x=60 ANSWER
supplement of x=150
Average of the 3 is (240/3)=80
B
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The average of the measures of angle X, it's complementary angle, and it's supplementary angle is 80 degrees.
Find x
= 80
multiply both sides by 3
x + (90-x) + (180-x) = 240
Combine like terms
x - x - x + 90 + 180 = 240
-x + 270 = 240
270 - 240 = x
30 = x
x = 30 degrees
:
What is the measure of the complement of angle X?
90 - 30 = 60 degrees

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