Question

If eleven times the complement of an angle is 10° greater than three

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

Answer 1

Answer: 43.75

Step-by-step explanation:

Step-by-step explanation:

Let the angle be x

measure of its complement = (90-x)

measure of its supplement= (180-x)  

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

⇒ 990 -11x = 100 + 540 - 3x

⇒990 - 640 = 11x-3x

⇒350 = 8x

⇒350/8 = x

⇒x =  43.75°