Answer:
-13
Step-by-step explanation:
the angle of ACD is 180-72 = 108 degrees.
simply because every side of a line represents 180 degrees of turning potential (to flip something around on a flat ground is a 180 degree turn). and we know 72 degrees are already "taken" at the other side of the angle.
BC bisects the angle. that means it divided the angle into 2 equal parts.
so the angle between BC and k is 108/2 = 54 degrees.
because j is parallel to k, this angle is the same as the angle between BC and j.
so,
54 = 2w + 80
-26 = 2w
w = -13
