Question

question
∠1 and ∠2 are vertical angles. if m∠1 = 3° and m∠2=(2x - 29)°, then find the value of x.

Explanation:

Step1: Recall vertical - angle property

Vertical angles are equal. So, $m\angle1 = m\angle2$.

Step2: Set up the equation

We know that $m\angle1 = 3^{\circ}$ and $m\angle2=(2x - 29)^{\circ}$, so $3=2x - 29$.

Step3: Solve for $x$

Add 29 to both sides of the equation: $3 + 29=2x-29 + 29$, which simplifies to $32 = 2x$. Then divide both sides by 2: $\frac{32}{2}=\frac{2x}{2}$, so $x = 16$.

Answer:

$x = 16$