The measure of angle ABF is 55 degrees
How to find the measure of angle ABF
According to the figure we solve as for x before solving for ABF
From the problem we have that
angle ABF = angle EBF (bisected angle are equal to each other)
7x - 8 = 5x + 10
7x - 5x = 10 + 8
2x = 18
x = 9
Then we solve for angle EBF
angle EBF = 5x + 10
= 5 * 9 + 10
= 45+ 10
= 55