if the supplyment of an angle is 4 times of its complement, find the angle
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Answered by
0
Answer:
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}3180
x = 60°
The supplement angle = 180° - x
⇒ 180° - 60°
⇒ 120°
The complement angle = 90° - x
⇒ 90° - 60°
⇒ 30°
Answered by
5
Answer:
Supplyment angles add to 180 degrees so the suppplyment of angle x is 180-x.Complementary anfges add upto 190 degrees so the compmement of x is 90-x. Supplement is 120 Complement is 30 120 is four times.
Hope it helps you
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