SOLUTION: The measure of an angle is 10 more than two-thirds that of its complement. Find the angle and its compliment. Angle = ___________ ____ Complement = ___________ __

Algebra ->  Angles -> SOLUTION: The measure of an angle is 10 more than two-thirds that of its complement. Find the angle and its compliment. Angle = ___________ ____ Complement = ___________ __       Log On


   

Question 660735: The measure of an angle is 10 more than two-thirds that of its complement. Find the angle and its compliment.
Angle = ________________ Complement = ______________
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
x = 10 + 2%2F3y
x+y = 90
...
10 + 2%2F3y + y = 90
Multiply the entire equation by 3 to be rid of the fractions
...
30 + 2y + 3y = 270
Isolate y
5y = 270 - 30
5y = 240
highlight_green%28y+=+48%29 degrees (complement)
...
90 - 48
highlight_green%28x=42%29 degree (angle)
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