Question

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Answer 1

From the given figure

Since ER is a straight line, then

The sum of the measure of the angles on it is 180 degrees

$m\angle MFE+m\angle MFP+m\angle PFR=180$

Since m

m < PFR = (3x - 4) degrees, then

$x+6+90+3x-4=180$

Add the like terms on the left side

$\begin{gathered} (x+3x)+(6-4+90)=180 \\ 4x+92=180 \end{gathered}$

Subtract 92 from both sides

$\begin{gathered} 4x+92-92=180-92 \\ 4x=88 \end{gathered}$

Divide both sides by 4 to find x

$\begin{gathered} \frac{4x}{4}=\frac{88}{4} \\ x=22 \end{gathered}$

Then the measure of angle MFE = 22 + 6 = 28 degrees

The answer is 28 degrees