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If two lines are parallel and a transversal intersects them, creating an angle o

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Question: If two lines are parallel and a transversal intersects them, creating an angle of 75 degrees, what is the measure of the vertically opposite angle?

Options:

  1. 75 degrees
  2. 105 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 75 degrees

Solution: 

Vertically opposite angles are equal. Therefore, the vertically opposite angle also measures 75 degrees.

If two lines are parallel and a transversal intersects them, creating an angle o

Practice Questions

Q1
If two lines are parallel and a transversal intersects them, creating an angle of 75 degrees, what is the measure of the vertically opposite angle?
  1. 75 degrees
  2. 105 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

If two lines are parallel and a transversal intersects them, creating an angle of 75 degrees, what is the measure of the vertically opposite angle?
  • Vertically Opposite Angles – When two lines intersect, the angles opposite each other are equal.
  • Parallel Lines and Transversals – When a transversal intersects two parallel lines, it creates corresponding angles, alternate interior angles, and vertically opposite angles.
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