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Step-by-step explanation:

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Answer:

the two angles are:

15°, 75°

Step-by-step explanation:

let x be the greater angle and y be the smaller angle,

first condition:

angles are complementary

then we have the equation;

x + y = 90°

second condition:

smaller angle is 20% of the larger angle

then we have the equation;

y = x/100 × 20%

100y = 20x

100y/20 = x

now, substituting the value of x in equation x + y = 90°, we get

100y/20 + y = 90°

(100y + 20y)/20 = 90°

100y + 20y = 90° × 20

120y = 1800°

y = 1800°/120

y = 15°

now, we substitute the value of y in equation 100y/20 = x, we get

(100 × 15)/20 = x

1500/20 = x

x = 75°

smaller angle y = 15°

larger angle x = 75°