Free Printable WorksheetMathGrade 8Math Curriculum7.G.B.5

8.125 Complementary, Supplementary, and Vertical Angles Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.125 Complementary, Supplementary, and Vertical Angles. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.125 Complementary, Supplementary, and Vertical Angles - Which equation or angle measure is correct based on complementary, supplementary, or vertical angle relationships? (CCSS 7.G.B.5; CA 7.G.B.5; MA 7.G.B.5)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 8

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 8.125 Complementary, Supplementary, and Vertical Angles skill assessments:

Problem 1Difficulty: Hard
Two lines intersect. The bottom angle measures 3x + 12 degrees and the left angle measures x + 24 degrees. What is the measure of the top angle?
Solution & Explanation:The bottom and left angles are adjacent, so (3x + 12) + (x + 24) = 180. Then 4x + 36 = 180, so x = 36. The top angle is vertical to the bottom angle, so it also measures 3(36) + 12 = 120.
Problem 2Difficulty: Hard
A right angle is split into two parts. One part is bisected into two angles of 17 degrees each. What is the measure of the other original part?
A34
B56
C63
D73
Solution & Explanation:The bisected part measures 17 + 17 = 34 degrees. A right angle is 90 degrees, so the other original part is 90 - 34 = 56.
Problem 3Difficulty: Hard
A straight angle is split into two equal angles and a third angle of 36 degrees. What is the measure of each equal angle?
Solution & Explanation:Let each equal angle be x. Since the three angles form a straight angle, x + x + 36 = 180. Then 2x = 144, so x = 72.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 8 Math students. It aligns with educational standard 7.G.B.5 (Primary standard selected for prompt fields: CCSS 7.G.B.5. Skill statement: Which equation or angle measure is correct based on complementary, supplementary, or vertical angle relationships? Associated standards listed with this skill: CCSS 7.G.B.5; CA 7.G.B.5; MA 7.G.B.5. Use this embedded wording as the best available supporting standard description for this workflow.).

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