m<ABD=(12x-12)

Question

<ABD is suppementary. Find the measure of the angle.

Answer 1

The question doesn't say what angle <ABD is supplementary to. Two angles are supplementary if their sum is 180 degrees.

If <ABD is supplementary to x, then <ABD=180-x.

But m<ABD=12x-12, therefore 12x-12=180-x, 13x=192, x=192/13.

If <ABD is supplementary to 12-x, then <ABD=180-(12-x)=168+x.

But m<ABD=12x-12, therefore 12x-12=168+x, 11x=180, x=180/11.