Answer:
28 degrees
Explanation:
Note that a bisector is a line that divides another line, angle or shape into two equal parts. So if line OF is a bisector, it means that angle EOF and angle FOG are equal then we can equate the two given equations and solve for x.
[tex]\begin{gathered} 4x-16=2x+6 \\ 4x-2x=16+6 \\ 2x=22 \\ x=\frac{22}{2} \\ \therefore x=11 \end{gathered}[/tex]
So we can go ahead and find the measure of angle EOF.
[tex]\begin{gathered} \angle EOF=4x-16 \\ =4(11)-16 \\ =44-16 \\ =28^{\circ} \end{gathered}[/tex]
Therefore angle EOF is 28 degrees.
