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

8.126 Angle Relationships with Parallel Lines and a Transversal Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.126 Angle Relationships with Parallel Lines and a Transversal. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.126 Angle Relationships with Parallel Lines and a Transversal - Which angle measure is correct using the relationships formed by parallel lines and a transversal? (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 8.126 Angle Relationships with Parallel Lines and a Transversal skill assessments:

Problem 1Difficulty: Hard
One angle measures 2x + 83 degrees. The angle vertical to its corresponding angle measures 9x + 13 degrees. What is the measure of the original angle?
Solution & Explanation:A corresponding angle is congruent to the original angle, and the vertical angle to it is also congruent. So solve 2x + 83 = 9x + 13. This gives x = 10. The original angle measures 103 degrees, and a supplementary angle measures 77 degrees.
Problem 2Difficulty: Hard
One angle measures x + 82 degrees. The angle adjacent to its corresponding angle measures 9x + 38 degrees. What is the measure of an angle supplementary to the original angle?
Solution & Explanation:A corresponding angle is congruent to the original angle, and an angle adjacent to it forms a linear pair, so it is supplementary to the original angle. So solve x + 82 + 9x + 38 = 180. This gives x = 6. The original angle measures 88 degrees, and a supplementary angle measures 92 degrees.
Problem 3Difficulty: Hard
In a diagram of parallel lines cut by a transversal, one acute angle measures 5x - 1 degrees and one obtuse angle measures 8x + 90 degrees. What is the measure of each acute angle?
Solution & Explanation:An acute angle and an obtuse angle in this diagram are supplementary, so solve 5x - 1 + 8x + 90 = 180. This gives x = 7. Each acute angle measures 34 degrees.

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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 angle measure is correct using the relationships formed by parallel lines and a transversal? 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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