Question

$\angle1$ and $\angle2$ are vertical angles. if $m\angle1=(x + 6)^{circ}$ and $m\angle2=-24^{circ}$, then find the value of $x$.

Explanation:

Step1: Recall vertical - angle property

Vertical angles are equal. So, $m\angle1 = m\angle2$.
$x + 6=-24$

Step2: Solve for $x$

Subtract 6 from both sides of the equation.
$x=-24 - 6$
$x=-30$

Answer:

$x=-30$