SOLUTION: Two angles are complimentary. The sum of the measure of the first angle and helf the second angle is 68 degrees. Find the measures of the angles.

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Question 193189: Two angles are complimentary. The sum of the measure of the first angle and helf the second angle is 68 degrees. Find the measures of the angles.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"Two angles are complimentary." translates to x%2By=90. Solve for "y" to get y=90-x



"The sum of the measure of the first angle and helf the second angle is 68 degrees." translates to x%2B%281%2F2%29y=68


x%2B%281%2F2%29y=68 Start with the second equation.


x%2B%281%2F2%29%2890-x%29=68 Plug in y=90-x


x%2B45-%281%2F2%29x=68 Distribute


x-%281%2F2%29x=68-45 Subtract 45 from both sides.


%281%2F2%29x=23 Combine like terms.


x=23%282%29 Multiply both sides by 2.


x=46 Multiply


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y=90-x Go back to the first equation


y=90-46 Plug in x=46


y=44 Subtract


So the solutions are x=46 and y=44 which means that the first and second angles are 46 and 44 degrees.