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5 votes
Anyone know how to do this??

Anyone know how to do this??-example-1
User Pradhan
by
4.3k points

2 Answers

5 votes
  • Answer:
  • 180=x-5+2x+5
  • 180=3x (cancel 5 with negative5)
  • x=180/3
  • x=60
User Xtian Macedo
by
4.0k points
3 votes

Answer:

x = 60

Explanation:

In order to make L parallel (||) to M, you want to prove that the angles are same-side interior angles since the Same-Side Interior Angle Theorem only works for parallel lines cut by a transversal.

In order to make the angles (marked with the expressions) same-side interior angles, they have to add up to 180 degrees because they are supplementary angles.

Make an equation where the two angles add up to (equal) 180.

  • (x - 5) + (2x + 5) = 180

Combine like terms on the left side of the equation.

  • 3x = 180

Divide both sides of the equation by 3.

  • x = 60

60 is the value of x that will make L || M.

User Pratikad
by
4.7k points