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)   (Show Source): You can put this solution on YOUR website!

complementary angles are two angles whose sum is °
if an angle is and its complementary angle ,we have
°.....eq.1
if angle measures ° more than the measure of ,we have
....eq.2...substitute in eq.1
°.....eq.1
°
°
°
go to eq.2, substitute




Answer by MathTherapy(10556)   (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

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