If two lines intersect and form angles of 120 degrees and x degrees, what is the

Practice Questions

Q1
If two lines intersect and form angles of 120 degrees and x degrees, what is the value of x? (2022)
  1. 60 degrees
  2. 120 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

If two lines intersect and form angles of 120 degrees and x degrees, what is the value of x? (2022)
  • Step 1: Understand that when two lines intersect, they form four angles.
  • Step 2: Recognize that the angles opposite each other are equal.
  • Step 3: Identify that the angles next to each other are supplementary, meaning they add up to 180 degrees.
  • Step 4: In this case, one angle is 120 degrees and the other angle is x degrees.
  • Step 5: Set up the equation: 120 + x = 180.
  • Step 6: Solve for x by subtracting 120 from both sides: x = 180 - 120.
  • Step 7: Calculate the result: x = 60 degrees.
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