Question

9 multiple choice. 6 points
given $m \parallel n$, find the value of $x$.
26
40
70
110

Explanation:

Step1: Identify congruent angles

The \(110^\circ\) angle and \((3x-10)^\circ\) are corresponding angles, so they are equal.

Step2: Set up equation

$$3x - 10 = 110$$

Step3: Solve for x

Add 10 to both sides: \(3x = 120\)
Divide by 3: \(x = \frac{120}{3} = 40\)

Answer:

B. 40