VERTICAL ANGLE
Definition Of Vertical Angles
When two lines intersect, two pairs of opposite angles are formed
These angles are called vertical angles. Vertical angles are congruent.
Examples of Vertical Angles
In the figure shown, 
are vertical angles.
Video Examples: Vertical Angle Theorem
Solved Example on Vertical Angles
Ques: Identify the number of pairs of vertical angles in the figure shown
Choices:
A. 2
B. 8
C. 4
D. 3
Correct Answer: C
Solution:
Step 1: When two lines intersect, two pairs of opposite angles are formed. These angles are called vertical angles
Step 2: In the figure shown, 
are vertical angles
Step 3: There are 4 pairs of vertical angles.
Quick Summary
- Vertical angles are formed by intersecting lines.
- Vertical angles are congruent.
- Vertical angles are opposite each other.
🍎 Teacher Insights
Use visual aids and hands-on activities to help students understand the concept of vertical angles. Have students draw intersecting lines and measure the vertical angles to confirm that they are congruent.🎓 Prerequisites
- Angles
- Intersecting Lines
- Congruence
Check Your Knowledge
Q1: In the figure where two lines intersect, if one angle measures 60 degrees, what is the measure of its vertical angle?
Q2: How many pairs of vertical angles are formed when two lines intersect?
Frequently Asked Questions
Q: Are vertical angles always equal?
A: Yes, vertical angles are always congruent, meaning they have the same measure.
Q: How can I identify vertical angles?
A: Look for angles formed by two intersecting lines that are opposite each other at the point of intersection.