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Please help! Geometry practice was lines cut by a transversal. What is the value of X?

Please help! Geometry practice was lines cut by a transversal. What is the value of-example-1
User MetaSean
by
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1 Answer

7 votes

Answer:

x = 70

Explanation:

1. First, we need to know that the angle with 45 degrees and the angle with (2x-5) degrees are same-side interior angles, meaning they add up to 180 degrees. The equation of this can be written as so:
2x-5+45= 180

2. (Solving)

Step 1: Combine like terms.


  • (2x) +(-5+45) = 180

  • 2x + 40 = 180

Step 2: Subtract 40 from both sides.


  • 2x + 40 - 40 = 180 - 40

  • 2x = 140

Step 3: Divide both sides by 2.


  • (2x)/(2) = (140)/(2)

  • x = 70

Step 4: Check if solution is correct.


  • 2(70) - 5 + 45 = 180

  • 140 - 5 + 45 = 180

  • 135 + 45 = 180

  • 180 = 180

Therefore, x = 70.

User Dan Wears Prada
by
4.7k points