Question

question
∠1 and ∠2 are vertical angles. if m∠1 = 5° and m∠2=(5x - 20)°, 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 have $5=(5x - 20)$.

Step3: Solve for $x$

Add 20 to both sides of the equation: $5+20 = 5x-20 + 20$, which simplifies to $25 = 5x$. Then divide both sides by 5: $\frac{25}{5}=\frac{5x}{5}$, so $x = 5$.

Answer:

$x = 5$