The complement of 4x is a. 90-4x b.180-4x c.4x d. 90°
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A supplement angle is the angle whose sum is equal to 180°.
The supplement angle = 180° - x
A complement angle is the angle whose sum is equal to 90°.
The complement angle = 90° - x
Given,
supplement angle = 4 × complement angle
(180° - x) = 4 × (90° - x)
180° - x = 360° - 4x
4x - x = 360° - 180°
3x = 180°
x =
x = 60°
The supplement angle = 180° - x
⇒ 180° - 60°
⇒ 120°
The complement angle = 90° - x
⇒ 90° - 60°
⇒ 30°
Learn more:
Find the angle whose supplement is 4 times its complement
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