Math With Mr DJ

Grade 7 · Geometry · 7.G.B.5

Angle Relationships Worksheets

Free, printable, and ready to teach: a practice worksheet, homework, an exit ticket, and an answer key with step-by-step solutions — plus lesson slides you can edit. No sign-up needed.

First page of the angle relationships practice worksheet Open the practice worksheet

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PDFs print on US Letter paper. Free for classroom and home use.

Watch: Angles and Parallel Lines Explained Step by Step
Key idea

Complementary → sum 90°. Supplementary → sum 180°. Vertical → equal. Angles on a straight line → sum 180°. Write the equation from the RELATIONSHIP, never from how the diagram looks.

Sample problems

  1. Find the complement of 20°.
  2. Find the supplement of 20°.
  3. Find the complement of 45°. What is special about this angle?
  4. Find the supplement of 90°. What does this tell you about a right angle?

Common mistakes to watch for

  • Answered 145° by using 180. Complementary is the smaller pair — think of the C in Corner, a right angle.
  • Answered 55° by using 90. The two words are easy to swap, and the totals are what distinguish them.
  • Made the vertical angle 118°. Vertical angles are equal; it is the ADJACENT angles that are supplementary.

The answer key explains each one, so you can tell what a wrong answer means.

How to use this set

  1. Teach with the slides (about 15 minutes), or watch the video together.
  2. Practice with the worksheet. Questions climb from fluency to application to reasoning.
  3. Check understanding with the exit ticket, and send the homework home.
  4. Mark with the answer key — each answer shows the steps and the most likely mistake.

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