Question

Find the value of x that makes m ∥ n.

Answer 1

x = 60

Explanation:

1. First of all, we must know that these angles are corresponding. That means they're congruent in angle measures.

2. Given the information above, 2x + 15 = 135.

3. (Solving)

Step 1: Subtract 15 from both sides.

• 
  `2x + 15 - 15 = 135 - 15`
• 
  `2x = 120`

Step 2: Divide both sides by 2.

• 
  `(2x)/(2) = (120)/(2)`
• 
  `x = 60`

Step 3: Check if solution is correct.

• 
  `2(60)+15=135`
• 
  `120 + 15 = 135`
• 
  `135 = 135`

Therefore, x = 60.

Answer 2

• x = 60

Explanation:

Corresponding angles must be same to make the lines m and n parallel.

• 2x + 15 = 135
• 2x = 120
• x = 60