SOLUTION: The measure of an angle 30 degrees more than its complement. Find the measure of the angle and its complement

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Question 1173949: The measure of an angle 30 degrees more than its complement. Find the measure of the angle and its complement
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the angle

Then complementary angle is 90-x

Assume x is the larger angle:
x - (90-x) = 30

2x - 90 = 30
Solve for x, 90-x to get the two angles (60 and 30).
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I encourage you to assum 90-x is the larger angle, and solve to prove to yourself that assumption is truly arbitrary.