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If two lines intersect and the measures of the two adjacent angles are 30 degree

Practice Questions

Q1
If two lines intersect and the measures of the two adjacent angles are 30 degrees and x degrees, what is the value of x?
  1. 30 degrees
  2. 150 degrees
  3. 120 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

If two lines intersect and the measures of the two adjacent angles are 30 degrees and x degrees, what is the value of x?
  • Step 1: Understand that when two lines intersect, they form four angles.
  • Step 2: Identify that adjacent angles (angles next to each other) formed by intersecting lines are supplementary, meaning they add up to 180 degrees.
  • Step 3: Write the equation for the two adjacent angles: 30 degrees + x degrees = 180 degrees.
  • Step 4: Solve for x by subtracting 30 from both sides of the equation: x = 180 - 30.
  • Step 5: Calculate the value of x: x = 150 degrees.
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