Question

if the suplement of an angle is three times its complement. find the angle​

Answer 1

Answer:

45°

Step-by-step explanation:

Supplementary angles add up to 180°

Complementary angles add up to 90°

Let, the angle be x

Complement of x = (90-x)

Supplement of x = (180-x)

Given,

Supplement of x = 3 (complement of x)

180 - x = 3 ( 90 - x )

180-x = 270 - 3x

Transpose 180 to R.H.S

Transpose 3x to L.H.S

3x - x = 270 - 180

2x = 90

x = 45°

Hence, the required angle is 45° .

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