57.9k views
2 votes
Find the value of x that makes line m ll n

Find the value of x that makes line m ll n-example-1
User Neroksi
by
3.7k points

1 Answer

2 votes

Answer:

See below ↓

Explanation:

14.

  • Between two lines m ║ n, the ∦ cuts through them forming two angles
  • As it forms a line, the sum of the angles is 180°
  • 3x + 47 + x + 7 = 180
  • 4x + 54 = 180
  • 4x = 126
  • x = 126/4 = 63/2 = 31.5

15.

  • Alternate exterior angles on a transversal are equal
  • 5x = 2x + 78
  • 3x = 78
  • x = 26
User Amir Arbabian
by
3.8k points