SOLUTION: An angle measures 50° more than the measure of a complementary angle. What is the measure of each angle?

Algebra ->  Angles -> SOLUTION: An angle measures 50° more than the measure of a complementary angle. What is the measure of each angle?       Log On


   



Question 1045834: An angle measures 50° more than the measure of a complementary angle. What is the measure of each angle?

Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
x, the measure
y, the complement
system%28x%2By=90%2Cx=y%2B50%29

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Two Angles are Complementary when they add up to 90 degrees (a Right Angle).
alpha%2Bbeta=90
if the measure of alpha=beta%2B50, we have
beta%2B50%2Bbeta=90°
2beta=90-50
2beta=40
beta=40%2F2
highlight%28beta=20%29°
now find alpha
alpha=beta%2B50->alpha=20%2B50->highlight%28alpha=70%29°
so, your angles are:highlight%2870%29° and highlight%2820%29°