SOLUTION: what is the measure of two congruent complementary angles

Algebra ->  Angles -> SOLUTION: what is the measure of two congruent complementary angles      Log On


   

Question 937951: what is the measure of two congruent complementary angles
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x and y be the unknown angles

we know they are congruent, so they are equal: y = x

They are also complementary, so x+y = 90

-------------------------------------------------------

x+y = 90

x+x = 90 ... plug in y = x

2x = 90

x = 45

-------------------------------------------------------

The two angles are both 45 degree angles.