Question

find the measure of an angle , if 5 times its complement is 60 degree less than twice its supplement
please solve this

Answer 1

Answer:

50°

Step-by-step explanation:

let the angle be a

it's complement angle will be 90-a

it's supplement angle will be 180-a

as per question

5(90-x) = 2(180-x) - 60

450 - 5x = 360 - 2x - 60

450-5x = 300-2x

5x - 2x = 450-300

3x = 150

x = 50