Answer:
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Let the angle be x.
Its complement is 90 - x and its supplement is 180 - x.
Set up an equation to reflect that its complement is 1/4 its supplement:
- 90 - x = (1/4)(180 - x)
- 4(90 - x) = 180 - x
- 360 - 4x = 180 - x
- 4x - x = 360 - 180
- 3x = 180
- x = 60