3 times the complement of an angle is 30 more than the supplement of the original angle. What is the measure of the angle?

Let the angle be x°. Its complement is 90 − x°, so three times the complement is 3(90 − x). The supplement is 180 − x°, and 30 more than that is 180 − x + 30. Set them equal: 3(90 − x) = 210 − x, which gives x = 30°. The angle measures 30°, choice B.

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