Math, asked by lizasingh557, 6 months ago

if the supplyment of an angle is 4 times of its complement, find the angle​

Answers

Answered by komal39464
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 babu745
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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