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Consecutive Interior Angles Theorem

Master consecutive interior angles theorem with interactive lessons and practice problems! Designed for middle school students!

Understanding Consecutive Interior Angles Theorem

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Video explanation of this concept

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Beginner

Start here! Easy to understand

Beginner Explanation

When two lines are cut by a third line (transversal), the angles that are inside the two lines and on the same side of the transversal are called consecutive interior angles.
Now showing Beginner level explanation.

Practice Problems

Test your understanding with practice problems

1

Quick Quiz

Single Choice Quiz
Beginner

On two parallel lines cut by a transversal, angles at the upper intersection are numbered 1 to 4 clockwise starting at the top-left. Which pair of angles are consecutive interior angles?

Please select an answer for all 1 questions before checking your answers. 1 question remaining.
2

Real-World Problem

Question Exercise
Intermediate

Street Intersection Scenario

In a city, the streets are laid out in a grid, forming parallel lines and transversals. You are at a corner and looking at the angles formed by the crossing streets. Identify the two consecutive interior angles and explain why they are consecutive interior angles.
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3

Thinking Challenge

Thinking Exercise
Intermediate

Think About This

If two parallel lines are cut by a transversal and one of the consecutive interior angles measures $110^\circ$, what is the measure of the other angle?

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4

Challenge Quiz

Single Choice Quiz
Advanced

If $\angle 1$ and $\angle 2$ are consecutive interior angles and $\angle 1 = 3x$ and $\angle 2 = 5x - 40$, find the value of $x$.

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Recap

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Review key concepts and takeaways

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