SOLUTION: Two angles are equal and complementary what is the measure of each ?

Algebra ->  Angles -> SOLUTION: Two angles are equal and complementary what is the measure of each ?      Log On


   



Question 994231: Two angles are equal and complementary what is the measure of each ?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let angles be alpha and beta
When two angles add to 90°, we say they "complement" each other, or they are complementary angles
so, alpha%2Bbeta=90°
if angles are equal, means beta=alpha and we have
alpha%2Balpha=90°
2alpha=90°
alpha=90%2F2°
alpha=45°=> means beta=45°
the measure of each is 45°