Question

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

Explanation:

Step1: Use corresponding - angles property

Since lines $m$ and $n$ are parallel, $\angle A$ and $\angle G$ are corresponding angles, so $\angle A=\angle G$. That is, $4x - 13=2x + 43$.

Step2: Isolate the variable terms

Subtract $2x$ from both sides of the equation: $4x-2x - 13=2x-2x + 43$, which simplifies to $2x-13 = 43$.

Step3: Solve for $x$

Add 13 to both sides: $2x-13 + 13=43 + 13$, so $2x=56$. Then divide both sides by 2: $x=\frac{56}{2}=28$.

Answer:

D. 28