Free Printable WorksheetMathGrade 7Math Curriculum7.G.B.5

7.87 Equations for angle relationships Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.87 Equations for angle relationships. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.87 Equations for angle relationships - In multiple-choice items, students select the equation that matches an angle diagram and choose the correct value of an unknown angle. (CCSS 7.G.B.5; CA 7.G.5; MA 7.G.5; NY 7.G.5; TX 7.11(C))

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 7

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 7.87 Equations for angle relationships skill assessments:

Problem 1Difficulty: Mastery

In the diagram, three sectors around a point combine to make one full turn. The angles are labeled 8x + 95 degrees, 8x + 43 degrees, and 8x + 102 degrees. Which equation describes the diagram, and what value of x solves it?

A(8x + 95) + (8x + 43) + (8x + 102) = 90; x = 7

B(8x + 95) + (8x + 43) + (8x + 102) = 360; x = 5

C(8x + 95) + (8x + 43) + (8x + 102) = 180; x = 7

D(8x + 95) + (8x + 43) + (8x + 102) = 360; x = 7

Solution & Explanation:In the diagram, the angles make a full turn around a point, so their measures add to 360 degrees. The matching equation is (8x + 95) + (8x + 43) + (8x + 102) = 360. Solving that equation gives x = 5.

Problem 2Difficulty: Mastery

In the diagram, a full 360-degree turn is split into three labeled angle parts. The angles are labeled 8x - 8 degrees, 4x + 5 degrees, and 5x + 6 degrees. Which equation fits the labeled angles, and what is the value of x?

A(8x - 8) + (4x + 5) = 360; x = 30.25

B(8x - 8) = (4x + 5); x = 3.25

C(8x - 8) + (4x + 5) + (5x + 6) = 360; x = 21

D(8x - 8) + (4x + 5) + (5x + 6) = 360; x = 23

Solution & Explanation:In the diagram, the angles make a full turn around a point, so their measures add to 360 degrees. The matching equation is (8x - 8) + (4x + 5) + (5x + 6) = 360. Solving that equation gives x = 21.

Problem 3Difficulty: Mastery

In the diagram, three adjacent angles surround a point in a complete circle. The angles are labeled 7x - 5 degrees, 6x - 8 degrees, and 5x - 5 degrees. Which option has both the matching equation and the correct value of x?

A(7x - 5) + (6x - 8) + (5x - 5) = 180; x = 11

B(7x - 5) + (6x - 8) + (5x - 5) = 90; x = 6

C(7x - 5) + (6x - 8) + (5x - 5) = 360; x = 23

D(7x - 5) + (6x - 8) + (5x - 5) = 360; x = 21

Solution & Explanation:In the diagram, the angles make a full turn around a point, so their measures add to 360 degrees. The matching equation is (7x - 5) + (6x - 8) + (5x - 5) = 360. Solving that equation gives x = 21.

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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 7 Math students. It aligns with educational standard 7.G.B.5 (Primary standard selected for prompt fields in this prompt cell: CCSS 7.G.B.5. Skill statement in this prompt cell: In multiple-choice items, students select the equation that matches an angle diagram and choose the correct value of an unknown angle. Associated standards listed with this skill in this prompt cell: CCSS 7.G.B.5; CA 7.G.5; MA 7.G.5; NY 7.G.5; TX 7.11(C). Use this prompt-provided wording as the supporting standard description for this workflow.).