Understanding Vertical Angles Theorem
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Beginner
Start here! Easy to understand
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Beginner Explanation
Vertical angles are pairs of opposite angles made by two intersecting lines. They are always equal: $\angle 1 \cong \angle 3$.
Practice Problems
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1
Quick Quiz
Single Choice Quiz
Beginner
If $\angle A$ and $\angle B$ are vertical angles and $\angle A = 45^\circ$, what is $\angle B$?
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2
Real-World Problem
Question Exercise
Intermediate
Teenager Scenario
You're designing a logo with intersecting lines. If one angle is $60^\circ$, what are the measures of all angles formed by the intersecting lines?
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
Given $\angle 1$ and $\angle 2$ are vertical angles and $\angle 1$ measures $3x + 10$. If $\angle 2$ measures $5x - 20$, find $x$.
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4
Challenge Quiz
Single Choice Quiz
Advanced
In a complex figure, $\angle X$ and $\angle Y$ are vertical angles. If $\angle X = 2a + 40$ and $\angle Y = 3a - 10$, what is $a$?
Please select an answer for all 1 questions before checking your answers. 1 question remaining.
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