Question

If an angle is 18 degree less than its complement, find its measure?

Answer 1

36 is the answer if an angle is 18 degree less than its complement angle.

Answer 2

$\huge\sf\pink{Answer}$

☞ Your answer is 36°

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$\huge\sf\blue{Given}$

✭ And angle is 18° less than its compliment

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$\huge\sf\gray{To \:Find}$

➢ The angle?

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$\huge\sf\purple{Steps}$

❍ Let the measure of angle be x°.

◕ It's compliment = (90 - x )°.

According to the question ;

$\sf\dashrightarrow x = ( 90 - x ) - 18$

$\sf\dashrightarrow x + x = 90 - 18$

$\sf\dashrightarrow 2x = 72$

$\sf\dashrightarrow x = \dfrac{72}{2}$

$\sf\dashrightarrow\orange{ x = 36}$

And, it's compliment = 54°

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➳ Compliment Angle - The angles which make their sum equal to 90°.

➳ If an angle is α°

➳ It's compliment = (90 - α)°

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