SOLUTION: The sum of the measures of the complement and the supplement of an angle is 214 degrees. find the measure of the angle.

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Question 337189: The sum of the measures of the complement and the supplement of an angle is 214 degrees. find the measure of the angle.
Answer by Fombitz(32388) About Me  (Show Source):
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1.A%2BC=90
2.A%2BS=180
3.C%2BS=214
From eq. 1 and eq. 2,
A%2BC%2BA%2BS=270
2A%2BC%2BS=270
Substitute eq. 3,
2A%2B214=270
2A=56
highlight_green%28A=28%29degrees