Question

The supplement of an angle is four times the compliment of the angle find the angle

Answer 1

72

Explanation:

one angle = x

other one, 4x

they're compliment,

so,

x+4x=90

or, 5x=90

or, x=18

so the angle is 4x=4×18=72

Answer 2

• 60°

Explanation:

Let the angle is x.

Supplement of x:

• 180 - x

Complement of x:

• 90 - x

We have:

• 180 - x = 4(90 - x)

Solve for x:

• 180 - x = 360 - 4x
• 4x - x = 360 - 180
• 3x = 180
• x = 60