SOLUTION: An angle and its complement always have a sum of 90 degrees. The sum of the measures of the angle and five times its complement is 298 degrees. What is the measure of the angle?

Question 61971: An angle and its complement always have a sum of 90 degrees. The sum of the measures of the angle and five times its complement is 298 degrees. What is the measure of the angle?
Answer by 303795(602) (Show Source): You can put this solution on YOUR website!
Let the angle be represented by x. The complement of this angle will be 90-x. When those two angles are added together the total will be 90.

Multiply 5 times the terms in the bracket

Subtract 450 from each side of the equation

divide each side of the equation by -4

So the angle will be 38 degrees. Its complement would be 52 degrees. Check 38 + 5 *52 = 298
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