In degrees, what is the measure of MFE?

30°

Step-by-step explanation:

It tells us that MFE is equal to (x + 6)° so we need to find x

The angle accross from MFE is RFT. These angles are congruent, because they are a vertical pair. So RFT is also equal to (x + 6)°

The angle RFT and PFR combined form a right angle. This means that RFT + PFR = 90°.

They told us that PFR = (3x - 4)°

so that means that (x + 6) + (3x - 4) = 90°

Knowing that we can just solve the equation by combining like terms

4x + 2 = 90

      Subtract two from both sides

4x = 88

       And then divide by 4

x = 22

Now we can plug in 22 in the original equation to find MFE

22 + 6 = 30

so MFE = 30°