Question

if a transversal creates two corresponding angles measuring $4x$ and $2x + 60$, solve for $x$.
a. 50
b. 30
c. 20
d. 40

Explanation:

Step1: Set up the equation

Since corresponding angles are equal, we have $4x = 2x+60$.

Step2: Subtract $2x$ from both sides

$4x - 2x=2x + 60-2x$, which simplifies to $2x=60$.

Step3: Solve for $x$

Divide both sides by 2: $\frac{2x}{2}=\frac{60}{2}$, so $x = 30$.

Answer:

B. 30