Question

30° (4x - 10)°

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, $30 = 4x - 10$.

Step2: Solve for $x$

Add 10 to both sides: $30+10 = 4x-10 + 10$, which simplifies to $40 = 4x$.

Step3: Isolate $x$

Divide both sides by 4: $\frac{40}{4}=\frac{4x}{4}$, so $x = 10$.

Answer:

$x = 10$