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If angle 1 and angle 2 are vertical angles, and angle 1 measures 75 degrees, wha

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Question: If angle 1 and angle 2 are vertical angles, and angle 1 measures 75 degrees, what is the measure of angle 2?

Options:

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

Correct Answer: 75 degrees

Solution: 

Vertical angles are equal. Therefore, if angle 1 measures 75 degrees, angle 2 also measures 75 degrees.

If angle 1 and angle 2 are vertical angles, and angle 1 measures 75 degrees, wha

Practice Questions

Q1
If angle 1 and angle 2 are vertical angles, and angle 1 measures 75 degrees, what is the measure of angle 2?
  1. 75 degrees
  2. 105 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

If angle 1 and angle 2 are vertical angles, and angle 1 measures 75 degrees, what is the measure of angle 2?
  • Step 1: Understand what vertical angles are. 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: Identify the measure of angle 1, which is given as 75 degrees.
  • Step 4: Since angle 2 is a vertical angle to angle 1, it must also be equal to 75 degrees.
  • Step 5: Conclude that the measure of angle 2 is 75 degrees.
  • Vertical Angles – Vertical angles are formed when two lines intersect, and they are always equal in measure.
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