Find the measures of two complementary angles such as that the larger angle is twice that of the smaller
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Find the measures of two complementary angles such as that the larger angle is twice that of the smaller
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Answer:
Two angles are said to be complementary if the sum of the measures of the angles is 90°.
let x be the larger angle
let y be the smaller angle
1st equation
x+y=90°
2nd equation
x=2y
substitution of x in 1st equation.
x+y=90°
2y+y=90°
3y=90° (divide both sides by 3)
y=30°
Then,
x=2y
x=2(30)
x=60°
Therefore, the larger angle is 60° and the smaller one is 30°