Question

If eleven times the complement of an angle is 100 greater than three

times its supplement, then find the measure of an angle.​

Answer 1

Answer:

let the angle be x

measure of its complement = (90-x)

measure of its supplement= (180-x)

According to the question

11(90-x)  =100+3(180-x)

990-11x  =100+540-3x

990-640=11x-3x

         8x = 350

           x = 43.75

hence the measure of the angle is 43.75

please  mark me as the brainliest

Step-by-step explanation:

Answer 2

Answer:

let the angle be x

measure of its complement = (90-x)

measure of its supplement= (180-x)

According to the question

11(90-x) =100+3(180-x)

990-11x =100+540-3x

990-640=11x-3x

8x = 350

x = 43.75

hence the measure of the angle is 43.75