Question

find the value of x when lines w and v are parallel. (4x - 3)° 65° a. 15.5 b. 17 c. 23.25 d. 29.5

Explanation:

Step1: Use corresponding - angles property

When two parallel lines are cut by a transversal, corresponding angles are equal. Here, the angle $(4x - 3)^{\circ}$ and the $65^{\circ}$ angle are corresponding angles. So, we set up the equation $4x-3 = 65$.

Step2: Solve the equation for x

Add 3 to both sides of the equation: $4x-3 + 3=65 + 3$, which simplifies to $4x=68$.

Step3: Isolate x

Divide both sides of the equation $4x = 68$ by 4: $x=\frac{68}{4}=17$.

Answer:

B. 17