Question

∠1 and ∠2 are vertical angles. if m∠1 = 9° and m∠2 = (4x - 19)°, then find the value of x. answer attempt 1 out of 2

Explanation:

Step1: Set up equation

Since vertical - angles are equal, we set $m\angle1=m\angle2$. So, $9 = 4x-19$.

Step2: Add 19 to both sides

$9 + 19=4x-19 + 19$, which simplifies to $28 = 4x$.

Step3: Solve for x

Divide both sides by 4: $\frac{28}{4}=x$, so $x = 7$.

Answer:

$7$