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In a transversal intersecting two parallel lines, if one angle measures 50 degre

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Question: In a transversal intersecting two parallel lines, if one angle measures 50 degrees, what is the measure of the vertically opposite angle?

Options:

  1. 50 degrees
  2. 130 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 50 degrees

Solution: 

Vertically opposite angles are equal. Therefore, the vertically opposite angle also measures 50 degrees.

In a transversal intersecting two parallel lines, if one angle measures 50 degre

Practice Questions

Q1
In a transversal intersecting two parallel lines, if one angle measures 50 degrees, what is the measure of the vertically opposite angle?
  1. 50 degrees
  2. 130 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

In a transversal intersecting two parallel lines, if one angle measures 50 degrees, what is the measure of the vertically opposite angle?
  • Step 1: Identify the two parallel lines and the transversal that intersects them.
  • Step 2: Locate the angle that measures 50 degrees.
  • Step 3: Understand that vertically opposite angles are formed when two lines intersect.
  • Step 4: Recognize that vertically opposite angles are always equal in measure.
  • Step 5: Conclude that the angle opposite the 50-degree angle also measures 50 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 intersects two or more lines, and when those lines are parallel, certain angle relationships hold.
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