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Angle: 60°(pi/3 Rad)

Complementary angle: 30°(pi/6 Rad)

Supplementary angle: 120° ( 2 pi/3 Rad)

30/120=.25

Method used to obtain:

Complementary angles are (90° - the angle): 90-x. Supplementary angles are (180°- the angle): 180-x. But, the Comp is only 25% of the Supp so multiply the Supp by 25% (divide by 4) and set them equal to each other and then solve for x.

90-x=(180-x)/4

4(90-x)=180-x

360-4x=180-x

180=3x

x=60

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Q: What is the size of an angle whose complement is 25 percent of its supplement?
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