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

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Answer 2

Answer:

Step-by-step explanation:

Let the angle be 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°