Question

Elias incorrectly finds the measure of

Answer 1

105 degrees

Elias' mistake was that he added m

Step-by-step explanation:

To be able to determine the measure of AFB, we have to 1st of all find the value of x.

Let's go ahead and solve for x as shown below;

`m\angle AFD=m\angle\text{BFC (vertically opposite angles are equal)}`
`\begin{gathered} 3x+3=2x+27 \\ 3x-2x=27-3 \\ x=24 \end{gathered}`

Since we know the value of x, let's go ahead and solve for
`\begin{gathered} (3x+3)+m\angle\text{AFB}=180\text{ (sum of angles on a straight line)} \\ 3(24)+3+m\angle AFB=180 \\ 75+m\angle AFB=180 \\ m\angle AFB=180-75 \\ m\angle AFB=105^(\circ) \end{gathered}`