SOLUTION: An angle measures 86° more than the measure of a complementary angle. What is the measure of each angle?

Algebra ->  Angles -> SOLUTION: An angle measures 86° more than the measure of a complementary angle. What is the measure of each angle?       Log On


   

Question 717849: An angle measures 86° more than the measure of a complementary angle. What is the measure of each angle?
Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
x = one angle
90 - x = complementary angle {complementary angles add up to 90°}

x = 90 - x + 86 {one angle is 86° more than its complementary angle}
x = -x + 176 {combined like terms on right}
2x = 176 {added x to each side}
x = 88 {divided each side by 2}
90 - x = 2 {substituted 88, in for x, into 90 - x}

one angle is 88°
complementary angle is 2°

For more help from me, visit: www.algebrahouse.com