Question

question
given $m\parallel n$, find the value of x.
answer attempt 2 out of 2

Explanation:

Step1: Identify angle relationship

The given angles are alternate exterior angles, so they are equal.
$3x - 28 = x + 2$

Step2: Isolate x terms

Subtract $x$ from both sides.
$3x - x - 28 = 2$
$2x - 28 = 2$

Step3: Isolate the x term

Add 28 to both sides.
$2x = 2 + 28$
$2x = 30$

Step4: Solve for x

Divide both sides by 2.
$x = \frac{30}{2}$

Answer:

$x = 15$