Question

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

Answer 1

let the variable be x,
6[$\pi$/2 -x]=$\pi$-x-12c
=> 3$\pi -6x= \pi -x-12c$
=> $2 \pi +12=5x$
=> x=$x=(2 \pi +12)/5$