An angle q is exactly one-fourth of its complementary angle. What is the value of angle q?

Explanation

Let the angle be q. Its complementary angle is 90^\circ - q. Since q = \frac{1}{4}(90^\circ - q), multiplying by 4 gives 4q = 90^\circ - q, which means 5q = 90^\circ, thus q = 18^\circ.

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