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If two parallel lines are cut by a transversal and one of the angles is 30 degre

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

Options:

  1. 30 degrees
  2. 150 degrees
  3. 90 degrees
  4. 60 degrees

Correct Answer: 30 degrees

Solution:

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

If two parallel lines are cut by a transversal and one of the angles is 30 degre

Practice Questions

Q1
If two parallel lines are cut by a transversal and one of the angles is 30 degrees, what is the measure of the vertically opposite angle?
  1. 30 degrees
  2. 150 degrees
  3. 90 degrees
  4. 60 degrees

Questions & Step-by-Step Solutions

If two parallel lines are cut by a transversal and one of the angles is 30 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 crosses two or more lines, creating various angles, including corresponding and vertically opposite angles.
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