Question

find the value of x.
a
b
37°
e
f
(2x + 3)°
d
c
x =

Explanation:

Step1: Identify angle - relationship

The angles $\angle AFB = 37^{\circ}$ and $\angle DFC=(2x + 3)^{\circ}$ are vertical angles. Vertical angles are equal.

Step2: Set up the equation

Since vertical angles are equal, we have the equation $2x+3 = 37$.

Step3: Solve the equation for x

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

Answer:

$17$