Question

what is the value of x? 30 45 55 60

Explanation:

Step1: Identify angle - relationship

Vertical angles are equal. Here, $x$ and $3x$ are supplementary (they form a straight - line pair), so $x + 3x=180^{\circ}$.

Step2: Solve the equation

Combine like terms: $4x = 180^{\circ}$. Then divide both sides by 4: $x=\frac{180^{\circ}}{4}=45^{\circ}$.

Answer:

45