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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
  1. Home/
  2. Mathematics/
  3. Grade 8/
  4. Unit 6/
  5. Angles & Parallel Lines
Grade 8 · Unit 6Topic 3 of 3~20 min

Angles & Parallel Lines

Find angle measures when a transversal crosses parallel lines.

All topics in this unit
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 1 · Learn

Walkthrough

Read this first — it covers the idea in plain language with a worked example.

When a transversal crosses parallel lines

  1. 1Corresponding angles are equal.
  2. 2Alternate interior angles are equal.
  3. 3Same-side interior angles are supplementary (add to 180°).
Worked example

Two parallel lines are cut by a transversal. One angle is 65°. Find its corresponding angle.

  1. →Corresponding angles are equal.
  2. →So the corresponding angle is also 65°.

Tip

The angles in a triangle add to 180°. This connects to parallel-line angle facts in many problems.

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 2 · Watch

Video walkthrough

A short video that walks through this topic.

Khan Academy

Angles, Parallel Lines & Transversals

Corresponding and alternate angle relationships.

Watch on YouTube
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 3 · Practice

Practice

Try a worksheet or work through some problems before the quiz.

Khan Academy

Angle relationships

Open resource
Math Worksheets 4 Kids

Angles worksheets

Open resource
πΣ√≠≤+αβΔπΣx²θ÷+
Step 4 · Check

Quick check

A couple of questions to make sure this topic stuck. Retake as many times as you want.

Angles & Parallel Lines

Question 1 of 2

Medium

Parallel lines are cut by a transversal. An angle measures 110°. Its alternate interior angle is:

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Previous · Topic 2 of 3Dilations & Similarity→Finished the unit?Back to Unit 6