SOLUTION: The sum of the measures of the complement and supplement of an angle is 206 degrees. Find the measure of the angle.

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Question 369524: The sum of the measures of the complement and supplement of an angle is 206 degrees. Find the measure of the angle.
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BC=90
A%2BS=180
Add eq. 2 from eq. 1,
A%2BS%2BA%2BC=180%2B90
2A%2BS%2BC=270
2A%2B%28206%29=270
2A=64
highlight%28A=32%29degrees

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Let x represent the angle

question states

(90-x) + (180-x) = 206°

solving for x

270 - 2x = 206

64 = 2x

32° = x

checking our answer

(90-32) + (180-32) = 58 + 148 = 206