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If two parallel lines are cut by a transversal and one of the angles formed is 3

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Question: If two parallel lines are cut by a transversal and one of the angles formed is 30 degrees, what is the measure of the vertically opposite angle?

Options:

  1. 30 degrees
  2. 150 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 30 degrees

Solution: 

Vertically opposite angles are equal. Therefore, the vertically opposite angle is also 30 degrees.

If two parallel lines are cut by a transversal and one of the angles formed is 3

Practice Questions

Q1
If two parallel lines are cut by a transversal and one of the angles formed is 30 degrees, what is the measure of the vertically opposite angle?
  1. 30 degrees
  2. 150 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

If two parallel lines are cut by a transversal and one of the angles formed is 30 degrees, what is the measure of the vertically opposite angle?
  • Step 1: Understand that when two parallel lines are cut by a transversal, several angles are formed.
  • Step 2: Identify that vertically opposite angles are the angles that are across from each other when two lines intersect.
  • Step 3: Recognize that vertically opposite angles are always equal in measure.
  • Step 4: Since one of the angles formed is given as 30 degrees, the angle that is vertically opposite to it must also be 30 degrees.
  • Step 5: Conclude that the measure of the vertically opposite angle is 30 degrees.
  • Vertically Opposite Angles – When two lines intersect, the angles opposite each other are equal.
  • Transversal and Parallel Lines – A transversal is a line that crosses two or more lines, creating various angles, including corresponding, alternate interior, and vertically opposite angles.
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