FH bisects <GFI, m<EFG = 4y + 8 and m<HFI = 2y + 6. Find the m<EFH. PLEASE HELP!!!!!

Don't know where to start. Do we have a triangle?

5 points are mentioned? How are they related?

Yeah - I can see points F,G,H,I

But where is E?

To find the measure of angle EFH, we need to use the angle bisector theorem and the given values of angles EFG and HFI.

According to the angle bisector theorem, if FH bisects angle GFI, it divides it into two equal angles. So, we can write:

m<EFG = m<EFH + m<HFI

Now, substitute the given values:

4y + 8 = m<EFH + (2y + 6)

Simplify the equation by combining like terms:

4y + 8 = 2y + m<EFH + 6

Subtract 2y and 6 from both sides to isolate m<EFH:

4y - 2y + 8 - 6 = m<EFH

Simplify:

2y + 2 = m<EFH

Therefore, the measure of angle EFH is 2y + 2.