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

Question 117474: two complementary angles are congruent. find the measure of each angle
Found 2 solutions by edjones, jim_thompson5910:
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
90 deg, 90 deg
Answer by jim_thompson5910(35256) (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 . Also since they are congruent angles, the two angles are equal. In other words,

Plug in

Combine like terms on the left side

Divide both sides by 2 to isolate x

Divide

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Answer:
So our answer is

So the two complementary and congruent angles are both 45 degrees
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