SOLUTION: Please help me solve this problem. The sum of the measures of the complement and supplement of an angle is 214 to the 0 power. Find the measure of the angle.

Question 547933: Please help me solve this problem.
The sum of the measures of the complement and supplement of an angle is 214 to the 0 power. Find the measure of the angle.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The sum of the measures of the complement and supplement of an angle is 214 to the 0 power. Find the measure of the angle.
:
I think you mean degree here, not 214^0, any no. ^0 is equal to 1 and that would not make sense
:
let a = the angle
then
(90-a) = the complement
and
(180-a) = the supplement
;
These are given as = to 214, therefore we have:
(90-a) + (180-a) = 214
Combine like terms
270 - 2a = 214
-2a = 214 - 270
-2a = -56
a =
a = +28 degrees
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