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