SOLUTION: An angle is 10° more than the measure of its complement. Find the number of degrees in each angle.

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Question 445433: An angle is 10° more than the measure of its complement. Find the number of degrees in each angle.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

definition: complementary angles are a pair of angles whose measures add up to 90 degrees
alpha+%2B+beta=90
given: alpha is 10° more than the measure of beta
alpha=beta+%2B10 ........substitute in alpha+%2B+beta=90
beta+%2B10+%2B+beta=90....find beta
2beta=90-10
2beta=80
beta=40.........now find alpha

alpha=beta+%2B10
alpha=40+%2B10
alpha=50