Question

Hi can you help me review for my geometry A final exam review?

Answer 1

28 degrees

Step-by-step 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.

`\begin{gathered} 4x-16=2x+6 \\ 4x-2x=16+6 \\ 2x=22 \\ x=(22)/(2) \\ \therefore x=11 \end{gathered}`

So we can go ahead and find the measure of angle EOF.

`\begin{gathered} \angle EOF=4x-16 \\ =4(11)-16 \\ =44-16 \\ =28^(\circ) \end{gathered}`

Therefore angle EOF is 28 degrees.