Question

if $mangle7$ is $5x + 4$ degrees and $mangle3$ is $29^{circ}$, what is $x$?

Explanation:

Step1: Identify angle - relationship

$\angle7$ and $\angle3$ are vertical angles, so $m\angle7 = m\angle3$.

Step2: Set up the equation

Set $5x + 4=29$.

Step3: Solve the equation for $x$

Subtract 4 from both sides: $5x=29 - 4$, so $5x = 25$. Then divide both sides by 5: $x=\frac{25}{5}=5$.

Answer:

$x = 5$