SOLUTION: two complementary angles are congruent. find the measure of each angle

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Question 117474: two complementary angles are congruent. find the measure of each angle
Found 2 solutions by edjones, jim_thompson5910:
Answer by edjones(7311) About Me  (Show Source):
You can put this solution on YOUR website!
90 deg, 90 deg

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=measure of first angle and y=measure of second angle

Since these angles are complementary, this means their sum is 90 degrees. In other words x%2By=90. Also since they are congruent angles, the two angles are equal. In other words, y=x


x%2Bx=90 Plug in y=x


2x=90 Combine like terms on the left side


x=%2890%29%2F%282%29 Divide both sides by 2 to isolate x



x=45 Divide

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Answer:
So our answer is x=45


So the two complementary and congruent angles are both 45 degrees