SOLUTION: The degree measure of an angle and its supplement are consecutive odd integers. Find the measure of each angle.
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Question 464974: The degree measure of an angle and its supplement are consecutive odd integers. Find the measure of each angle.
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
Let the measure of an angle be: 2k+1 degree, then the measure of its supplement
will be:180-(2k+1)=2k+3, because the measures are consecutive odd numbers.
Solving this equation we get k=44, and the measures of the angles are:
2k+1=2*44+1=89 degree, and 2k+3=2*44+3=91 degree.
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