find the angle whose supplement is four times its complement.
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I think the answer is 60°
Answered by
6
The angle is 60°
Step-by-step explanation:
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 = \frac{180}{3}
3
180
x = 60°
The supplement angle = 180° - x
⇒ 180° - 60°
⇒ 120°
The complement angle = 90° - x
⇒ 90° - 60°
⇒ 30°
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Find the angle whose supplement is 4 times its complement
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