Question

2. If the supplement of an angle is 4 times of its compliment, find the angle.

Answer 1

Answer:

Supplementary angles add to 180 degrees, so the supplement of angle x is 180 - x. Complementary angles add up to 90 degrees, so the complement of x is 90-x. Supplement is 120, complement is 30, 120 is four times 30.

Answer 2

Let the angle be x

We know that supplement of an angle = 180-x

Complement =90- x

Supplement = 4(complement)

180-x =4(90-x)

180-x= 360–4x

3x =180

x=60

Hence the angle is 60

Supplement =120; Complement = 30