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

Question 62475: An angle and its components always have a sum of 90 degrees. The sum of the measures og 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 required angle be x. Its complement will be 90-x as the two angles (x and 90-x) add up to get 90.
Multiply out the part in the bracket

Subtract 450 from each side of the equation

Divide each side by -4 to find x

So the angle is 38 degrees (Its complement will therefore be 52 degrees)

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