You must show all your work to earn credit for this problem. Triangle ABC below is an isosceles triangle. What is the measure of the vertex angle?

Answer:
angle ABC = 36 degrees
Step-by-step explanation:
6x = (4x+24)
2x = 24
x = 12
angle ABC = 180 -6x - (4x+24)
angle ABC = 180 - 6(12) - 4(12) - 24 = 36 degrees