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If two lines intersect and one of the angles is 40 degrees, what is the measure

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Question: If two lines intersect and one of the angles is 40 degrees, what is the measure of the vertically opposite angle? (2023)

Options:

  1. 40 degrees
  2. 80 degrees
  3. 60 degrees
  4. 20 degrees

Correct Answer: 40 degrees

Exam Year: 2023

Solution: 

Vertically opposite angles are equal when two lines intersect. Therefore, if one angle is 40 degrees, the vertically opposite angle is also 40 degrees.

If two lines intersect and one of the angles is 40 degrees, what is the measure

Practice Questions

Q1
If two lines intersect and one of the angles is 40 degrees, what is the measure of the vertically opposite angle? (2023)
  1. 40 degrees
  2. 80 degrees
  3. 60 degrees
  4. 20 degrees

Questions & Step-by-Step Solutions

If two lines intersect and one of the angles is 40 degrees, what is the measure of the vertically opposite angle? (2023)
  • Step 1: Understand that when two lines intersect, they form four angles.
  • Step 2: Identify that the angles that are opposite each other at the intersection are called vertically opposite angles.
  • Step 3: Remember that vertically opposite angles are always equal.
  • Step 4: Since one of the angles is given as 40 degrees, the angle directly opposite to it is also 40 degrees.
  • Vertically Opposite Angles – When two lines intersect, the angles opposite each other are equal.
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