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Given l\parallel m\parallel nl∥m∥n, find the value of x.

Given Lparallel Mparallel Nlmn Find The Value Of X class=

Sagot :

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Co-interior angles must add up to 180

x-5+2x+14=180

Gather like terms

3x+9=180

Move 9 to the other side as a negative number

3x=171

Divide both sides by 3

x= 57

Answer:

x = 57

Step-by-step explanation:

  • x - 5 and 2x + 14 are angles on the same side of the transversal between two parallel lines
  • They are supplementary [add up to 180°]
  • x - 5 + 2x + 14 = 180
  • 3x + 9 = 180
  • 3x = 171
  • x = 57
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