SOLUTION: Two angles are congruent and complementary, what are their measures?

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Question 157991: Two angles are congruent and complementary, what are their measures?
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Let x=angle 1, and y=angle 2


Since the "angles are congruent", this means that . Also since the angles are complementary, this means that


Start with the given equation


Plug in


Combine like terms


Divide both sides by 2


So the measure of the two angles is 45 degrees.

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