Question

lines m and n are parallel. find the value of x. (4x - 28)° (3x + 17)° x = 43 (type an integer or a fraction.)

Explanation:

Step1: Use property of parallel lines

Since lines M and N are parallel, the corresponding angles are equal. So we set up the equation $4x - 20=3x + 17$.

Step2: Isolate x - terms

Subtract $3x$ from both sides of the equation: $4x-3x- 20=3x-3x + 17$, which simplifies to $x-20 = 17$.

Step3: Solve for x

Add 20 to both sides of the equation: $x-20 + 20=17+20$, so $x = 37$.

Answer:

$x = 37$