SOLUTION: Angles E and F are complimentary. If the measure of angle E = x-10 and the measure of angle F = x+2, find the value of x and the measure of each angle.

Algebra ->  Angles -> SOLUTION: Angles E and F are complimentary. If the measure of angle E = x-10 and the measure of angle F = x+2, find the value of x and the measure of each angle.       Log On


   

Question 869437: Angles E and F are complimentary.
If the measure of angle E = x-10 and the measure of angle F = x+2, find the value of x and the measure of each angle.
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
Since E and F are complementary
E + F = 90
(x-10) + (x+2) = 90
2x -8 = 90
add 8 to each side
2x = 98
divide each side by 2
x = 49
E = x-10 = 49 - 10
E = 39
F = x+2 = 49 + 2
F = 51