Question

Find the measure of an angle, if six times its complement is 12 degree less than twice its supplement

Answer 1

let the angle be x
its complement=(90-x)
its supplement=(180-x)
according to the question
6(90-x)+12=2(180-x)
540-6x+12=360-2x
552-360=4x
192=4x
x=48 degree
so the angle is 48 degeree


hope this helps!!!

Answer 2

let the angle be x;

thus,
6(90-x)=2(180-x) -12
540-6x=360-2x-12
192=4x
x=48