Question

find the value of x.
x =

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. Angle $\angle AFB$ and $\angle DFC$ are vertical angles. So, $\angle DFC=\angle AFB = 37^{\circ}$.

Step2: Set up an equation

We know that $\angle DFC=(2x + 3)^{\circ}$. So, we set up the equation $2x+3 = 37$.

Step3: Solve the equation for $x$

Subtract 3 from both sides of the equation: $2x=37 - 3$. So, $2x=34$. Then divide both sides by 2: $x=\frac{34}{2}=17$.

Answer:

$17$