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In a pair of parallel lines cut by a transversal, if one of the angles measures

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Question: In a pair of parallel lines cut by a transversal, if one of the angles measures 110 degrees, what is the measure of the vertically opposite angle?

Options:

  1. 70 degrees
  2. 110 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 110 degrees

Solution: 

Vertically opposite angles are equal. Therefore, the vertically opposite angle also measures 110 degrees.

In a pair of parallel lines cut by a transversal, if one of the angles measures

Practice Questions

Q1
In a pair of parallel lines cut by a transversal, if one of the angles measures 110 degrees, what is the measure of the vertically opposite angle?
  1. 70 degrees
  2. 110 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

In a pair of parallel lines cut by a transversal, if one of the angles measures 110 degrees, what is the measure of the vertically opposite angle?
  • Step 1: Identify the given angle, which measures 110 degrees.
  • Step 2: Understand that vertically opposite angles are formed when two lines intersect.
  • Step 3: Remember that vertically opposite angles are always equal in measure.
  • Step 4: Since the given angle is 110 degrees, the angle that is vertically opposite to it must also be 110 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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