Question

The supplement of an angle is four times the complement of the angle. Find the angle.
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Answer 1

Answer⤵️

The complement of the angle x is given by (90 - x). Hence, the angle which is four times its complement is 72 degrees.

Answer 2

Solution :-

Given :-

• The supplement of an angle is four times the complement of the angle.

To Find :-

• What is the angle.

Solution :-

• Let, the angle be x

• Supplement angle = 180° - x

• And, complement angle = 90° - x

According to the question,

⇒ (180° - x) = 4(90° - x)

⇒ 180° - x = 360° - 4x

⇒ - x + 4x = 360° - 180°

⇒ 3x = 180°

⇒ x = $\sf\dfrac{\cancel{180°}}{\cancel{3}}$

➠ x = 60°

∴ The angle is 60° .

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