question\ngiven ( m parallel n ), find the value of ( x ).\nanswer\nattempt 1 out of 2\n( x = )

Answer:

$24$

Explanation:

Step1: Use the property of alternate interior angles

Since (m\parallel n), the (85^{\circ}) angle and ((3x + 13)^{\circ}) angle are alternate interior angles. So (3x+13 = 85).

Step2: Solve the equation for (x)

Subtract (13) from both sides of the equation: (3x=85 - 13), which simplifies to (3x = 72). Then divide both sides by (3): (x=\frac{72}{3}=24).