Understanding Vertical Angles
Choose your learning level
Beginner
Start here! Easy to understand
Now showing Beginner level explanation.
Beginner Explanation
Vertical angles are formed by two intersecting lines. They are always equal: $\angle 1 \cong \angle 3$.
Practice Problems
Test your understanding with practice problems
1
Quick Quiz
Single Choice Quiz
Beginner
If $\angle 1$ is $45^\circ$ in the diagram of intersecting lines (see diagram), what is $\angle 3$?
Please select an answer for all 1 questions before checking your answers. 1 question remaining.
2
Real-World Problem
Question Exercise
Intermediate
Teenager Scenario
You are standing at a crossroads. The intersecting roads form vertical angles: $\angle A$ and $\angle B$ (see diagram). If $\angle A$ is $120^\circ$, find $\angle B$.
Click to reveal the detailed solution for this question exercise.
3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
Consider two intersecting lines creating vertical angles (see diagram). If one angle measures $70^\circ$, determine the measures of all angles formed by the intersection.
Click to reveal the detailed explanation for this thinking exercise.
4
Challenge Quiz
Single Choice Quiz
Advanced
Two intersecting lines form angles $\angle A$, $\angle B$, $\angle C$, and $\angle D$ (see diagram). If $\angle A = 3x + 15$ and $\angle C = 75 - x$, find $x$.
Please select an answer for all 1 questions before checking your answers. 1 question remaining.
Recap
Watch & Learn
Review key concepts and takeaways