# SOLUTION: The measure of an angle is 20 degrees more than twice its complement. Find the measure of the smaller angle.

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 Question 622545: The measure of an angle is 20 degrees more than twice its complement. Find the measure of the smaller angle.Answer by math-vortex(472)   (Show Source): You can put this solution on YOUR website!Hi, there-- . Let m be the measure of the angle. . Since the sum of the measures of an angle and its complement is 90 degrees, we can write the measure of the complement as 90-m. . We know that the measure of the angle is 20 degrees more than twice the complement. [the measure of the angle] = [twice the measure of the complement] + [20 degrees more] . In algebra we write, . Simplify and solve for m. . Since the angle measures degrees, its complement it degrees. So, the smaller angle has a measure of degrees. . It's always a good idea to check your answer against the information in the original problem. Twice the complement is degrees. In addition, degrees is 20 more degrees than degrees. . That's it! Feel free to email me if you have questions about this. . Ms.Figgy math.in.the.vortex@gmail.com