Question

lines m and n are parallel. ∠a=(4x - 13)° and ∠g=(2x + 43)°. what is the value of x? (1 point) 25 28 56 50

Explanation:

Step1: Identify angle - relationship

Since lines $m$ and $n$ are parallel, $\angle A$ and $\angle G$ are corresponding angles, and corresponding angles are equal. So we set up the equation $4x - 13=2x + 43$.

Step2: Solve the equation for $x$

Subtract $2x$ from both sides: $4x-2x - 13=2x-2x + 43$, which simplifies to $2x-13 = 43$.
Then add 13 to both sides: $2x-13 + 13=43 + 13$, getting $2x=56$.
Finally, divide both sides by 2: $\frac{2x}{2}=\frac{56}{2}$, so $x = 28$.

Answer:

28