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If two lines intersect and form a pair of vertical angles measuring 40 degrees,

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Question: If two lines intersect and form a pair of vertical angles measuring 40 degrees, what is the measure of the other pair of vertical angles?

Options:

  1. 40 degrees
  2. 80 degrees
  3. 60 degrees
  4. 100 degrees

Correct Answer: 40 degrees

Solution: 

Vertical angles are equal, so the other pair of vertical angles also measures 40 degrees.

If two lines intersect and form a pair of vertical angles measuring 40 degrees,

Practice Questions

Q1
If two lines intersect and form a pair of vertical angles measuring 40 degrees, what is the measure of the other pair of vertical angles?
  1. 40 degrees
  2. 80 degrees
  3. 60 degrees
  4. 100 degrees

Questions & Step-by-Step Solutions

If two lines intersect and form a pair of vertical angles measuring 40 degrees, what is the measure of the other pair of vertical angles?
  • Step 1: Understand that vertical angles are the angles that are opposite each other when two lines intersect.
  • Step 2: Note that vertical angles are always equal in measure.
  • Step 3: Since one pair of vertical angles measures 40 degrees, the angle opposite to it (the other vertical angle) must also measure 40 degrees.
  • Step 4: Therefore, the measure of the other pair of vertical angles is also 40 degrees.
  • Vertical Angles – Vertical angles are the angles opposite each other when two lines intersect, and they are always equal in measure.
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