Question

find the value of x that makes m parallel to n. fill in the blank 2 points x = type your answer... 100° (4x - 28)°

Explanation:

Step1: Identify angle - relationship

When two lines are parallel, corresponding angles are equal. Here, the angle of $100^{\circ}$ and the angle $(4x - 28)^{\circ}$ are corresponding angles. So we set up the equation $4x-28 = 100$.

Step2: Solve the equation for x

Add 28 to both sides of the equation: $4x-28 + 28=100 + 28$, which simplifies to $4x=128$.

Step3: Isolate x

Divide both sides of the equation $4x = 128$ by 4: $x=\frac{128}{4}$.

Answer:

$x = 32$