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If a transversal intersects two parallel lines and creates an angle of 40 degree

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Question: If a transversal intersects two parallel lines and creates an angle of 40 degrees, what is the measure of the vertically opposite angle?

Options:

  1. 40 degrees
  2. 80 degrees
  3. 60 degrees
  4. 20 degrees

Correct Answer: 40 degrees

Solution:

Vertically opposite angles are equal, so the angle is also 40 degrees.

If a transversal intersects two parallel lines and creates an angle of 40 degree

Practice Questions

Q1
If a transversal intersects two parallel lines and creates an angle of 40 degrees, what is the measure of the vertically opposite angle?
  1. 40 degrees
  2. 80 degrees
  3. 60 degrees
  4. 20 degrees

Questions & Step-by-Step Solutions

If a transversal intersects two parallel lines and creates an angle of 40 degrees, what is the measure of the vertically opposite angle?
  • Vertically Opposite Angles – When two lines intersect, the angles opposite each other are equal.
  • Transversal and Parallel Lines – A transversal is a line that intersects two or more lines, and when those lines are parallel, certain angle relationships hold true.
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