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) About Me  (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 y=x. Also since the angles are complementary, this means that x%2By=90


x%2By=90 Start with the given equation


x%2Bx=90 Plug in y=x


2x=90 Combine like terms


x=45 Divide both sides by 2


So the measure of the two angles is 45 degrees.