Angle Detective is an interactive, auto-graded worksheet for 7th grade geometry (7.G.B.5). Students use vertical, adjacent, complementary, and supplementary relationships to find unknown angles, then write and solve equations for angles hidden behind algebra. Correct answers ink into the figure in real time. Every student gets a randomized version, so no two worksheets are the same.
Turn angle relationships into detective work. In this interactive, self-grading worksheet, students are given one marked angle in each figure and must uncover every other angle using the four core relationships, then name the reasoning they used. The later cases hide angles behind algebraic expressions, pushing students to write and solve simple equations by hand. It is built for 7th grade geometry and aligns directly to Common Core standard 7.G.B.5.
What students practice:
What makes it different:
How teachers use it:
Standard alignment: CCSS 7.G.B.5, use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.
Grade level: 7 (adaptable for advanced 6th grade or 8th grade review)
Topics: angle relationships, vertical angles, complementary angles, supplementary angles, adjacent angles, solving equations, middle school geometry
Students apply the four core angle relationships, vertical, adjacent, complementary, and supplementary, to find unknown angles at intersecting lines and along straight lines, and name the relationship they used (7.G.B.5). In the later cases, students write and solve simple one-variable equations by hand to find angle measures hidden behind algebraic expressions. Each student receives a randomized version of the worksheet, so the angle values differ from student to student while the underlying skills and structure stay the same.
The worksheet supports randomization, if enabled, every student will get different angles to work on, but the problem patterns remains the same for all students. This prevents copying of answers.
💡 Tip: When assigning this activity to your classroom, you can optionally enable randomization to give each student a unique version of the problems. When you re-assign the same worksheet, each student will get a new set of questions, helping them master the content through repeated practice.
Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.
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