SOLUTION: An angle measures 68° more than the measure of its complementary angle. What is the measure of each angle?

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Question 1152229: An angle measures 68° more than the measure of its complementary angle. What is the measure of each angle?
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
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complementary angles are two angles whose sum is 90°
if an angle is alpha and its complementary angle beta,we have
alpha%2Bbeta=+90°.....eq.1
if angle alpha measures 68° more than the measure of beta,we have
alpha=beta+%2B68 ....eq.2...substitute in eq.1
beta+%2B68%2Bbeta=+90°.....eq.1
2beta=+90-68°
2beta=+22°
beta=+11°
go to eq.2, substitute beta
alpha=11+%2B68
alpha=79


Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

An angle measures 68° more than the measure of its complementary angle. What is the measure of each angle?
Let the larger angle be A

Then its complement = 90 - A

We then get: A = 90 - A + 68

A + A = 90 + 68

2A = 158

A, or