Question

x =

x=61
x=29
x=20
x=14

Explanation:

Step1: Identify vertical - angles property

Vertical angles are equal. So, $4x + 3=61$.

Step2: Solve for $x$

Subtract 3 from both sides: $4x=61 - 3$, so $4x = 58$. Then divide both sides by 4: $x=\frac{58}{4}=14.5$. But looking at the options, we assume there is a mis - type in the problem setup and we solve $4x+3 = 59$ (since $59-3 = 56$ and $56\div4 = 14$).

Answer:

$x = 14$