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Find the value of X for which L is parallel to M. The diagram is not to scale. SHOW WORK!
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23 votes
23 votes
Find the value of X for which L is parallel to M. The diagram is not to scale. SHOW WORK!

Find the value of X for which L is parallel to M. The diagram is not to scale. SHOW-example-1
User Cezary Wojtkowski
by
2.7k points

2 Answers

9 votes
9 votes

Alternate interior angles are equal

  • 3x-43=80
  • 3x=80+43
  • 3x=123
  • x=41
User Malte Skoruppa
by
2.6k points
21 votes
21 votes

Answer:

  • x = 41

Explanation:

If l and m are parallel, the given two angles are congruent as alternate interior angles:

  • 3x - 43 = 80

Solve for x:

  • 3x = 80 + 43
  • 3x = 123
  • x = 123/3
  • x = 41
User Elahe
by
2.7k points
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