Answer:
The measure of ABC is 72
Explanation:
if the angle ABC is bisected, it means that the two angles ABD and DBC are equal;
Thus;
12x + 24 = 20x + 16
20x -12x = 24-16
8x = 8
x = 1
The measure of angle ABC is the sum of the two angles
ABC = 12x + 24 + 20x + 16
ABC = 32x + 40
Substitute x = 1
ABC = 32(1) + 40
ABC = 72 degrees