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

7.102 Unknown angles in multi step diagrams Worksheet

Download our free printable Grade 7 Math worksheet on 7.102 Unknown angles in multi step diagrams. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

Choose your preferred download format:

100% Free • No registration or login required • Instant file access

Download PDF Download DOCX

Prefer interactive practice with instant grading and explanations?Practice Unknown angles in multi-step diagrams Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.102 Unknown angles in multi step diagrams. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.102 Unknown angles in multi-step diagrams - In multiple-choice items, students select the correct value of an unknown angle in a multi-step diagram and choose the correct equation that represents the relationships. (CCSS 7.G.B.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 7.102 Unknown angles in multi step diagrams skill assessments:

Problem 1Difficulty: Mastery

A straight angle at D3 is split into four adjacent parts labeled x + 6 degrees, x + 16 degrees, 2x - 8 degrees, and 70 degrees. Which answer matches both the value of x and the angle relationship shown?

Ax = 34 degrees; equation: (x + 6) + (x + 16) + (2x - 8) + 70 = 180

Bx = 24 degrees; equation: (x + 6) + (x + 16) + (2x - 8) + 70 = 90

Cx = 14 degrees; equation: (x + 6) + (x + 16) + (2x - 8) + 70 = 360

Dx = 24 degrees; equation: (x + 6) + (x + 16) + (2x - 8) + 70 = 180

Solution & Explanation:Use the angle relationship to write (x + 6) + (x + 16) + (2x - 8) + 70 = 180. Solving gives x = 24 degrees. The four adjacent parts make a straight angle of 180 degrees.

Problem 2Difficulty: Mastery

Around point C3, two vertical angles are each labeled x + 30 degrees. The other two adjacent angles are labeled 2x - 5 degrees and 105 degrees. Choose the value of x and the equation that correctly models the diagram.

Ax = 60 degrees; equation: (x + 30) + (x + 30) + (2x - 5) + 105 = 360

Bx = 50 degrees; equation: (x + 30) + (x + 30) + (2x - 5) + 105 = 180

Cx = 50 degrees; equation: (x + 30) + (x + 30) + (2x - 5) + 105 = 360

Dx = 40 degrees; equation: (x + 30) + (x + 30) + (2x - 5) + 105 = 90

Solution & Explanation:Use the angle relationship to write (x + 30) + (x + 30) + (2x - 5) + 105 = 360. Solving gives x = 50 degrees. All four angles around the point add to 360 degrees, including both vertical angles labeled x + 30.

Problem 3Difficulty: Mastery

On a straight line at B3, an angle vertical to 3x + 2 degrees is adjacent to an angle split into x + 9 degrees and 65 degrees. Which option identifies x and a matching equation for the diagram?

Ax = 36 degrees; equation: (3x + 2) + (x + 9) + 65 = 180

Bx = 26 degrees; equation: (3x + 2) + (x + 9) + 65 = 180

Cx = 26 degrees; equation: (3x + 2) + (x + 9) + 65 = 90

Dx = 16 degrees; equation: (3x + 2) + (x + 9) + 65 = 360

Solution & Explanation:Use the angle relationship to write (3x + 2) + (x + 9) + 65 = 180. Solving gives x = 26 degrees. The vertical angle is 3x + 2 degrees, and all adjacent parts on the straight line add to 180 degrees.

Want more practice questions with step-by-step guidance?

Practice All Questions Online

Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 7.102 Unknown angles in multi step diagrams worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this 7.102 Unknown angles in multi step diagrams worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice 7.102 Unknown angles in multi step diagrams online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 7.102 Unknown angles in multi step diagrams interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

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 correct value of an unknown angle in a multi-step diagram and choose the correct equation that represents the relationships. Associated standards listed with this skill in this prompt cell: CCSS 7.G.B.5; TX 7.11(C). Use this prompt-provided wording as the supporting standard description for this workflow.).