2002 AMC 12A Problems/Problem 4
Problem
Find the degree measure of an angle whose complement is 25% of its supplement.
Solution
Solution 1
We can create an equation for the question,
After simplifying, we get
Solution 2
Given that the complementary angle is of the supplementary angle. Subtracting the complementary angle from the supplementary angle, we have as of the supplementary angle.
Thus the degree measure of the supplementary angle is , and the degree measure of the desired angle is .
~ Nafer
See Also
2002 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 3 |
Followed by Problem 5 |
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All AMC 12 Problems and Solutions |
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