Question 193189
"Two angles are complimentary." translates to {{{x+y=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+(1/2)y=68}}}



{{{x+(1/2)y=68}}} Start with the second equation.



{{{x+(1/2)(90-x)=68}}} Plug in {{{y=90-x}}}



{{{x+45-(1/2)x=68}}} Distribute



{{{x-(1/2)x=68-45}}} Subtract 45 from both sides.



{{{(1/2)x=23}}} Combine like terms.



{{{x=23(2)}}} 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.