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

7.103 Angle sums in triangles and quadrilaterals Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.103 Angle sums in triangles and quadrilaterals. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.103 Angle sums in triangles and quadrilaterals - In multiple-choice items, students choose the correct missing angle measure using triangle or quadrilateral angle-sum reasoning. (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 7.103 Angle sums in triangles and quadrilaterals skill assessments:

Problem 1Difficulty: Mastery
A diagram shows quadrilateral KLMN split by diagonal LN. In triangle KLN, angle K is 61 degrees, angle KLN is 2x + 6 degrees, and angle LNK is x + 11 degrees. The full angle L is 110 degrees. In triangle LMN, angle M is x + 21 degrees. What is the measure of angle LNM?
A103 degrees
B75 degrees
C122 degrees
D89 degrees
Solution & Explanation:In triangle KLN, 61 + (2x + 6) + (x + 11) = 180, so 3x + 78 = 180 and x = 34. Then angle KLN is 74 degrees, so angle MLN is 110 - 74 = 36 degrees. Angle LMN is x + 21 = 55 degrees, so angle LNM is 180 - 36 - 55 = 89 degrees.
Problem 2Difficulty: Mastery
A quadrilateral has angles labeled 3x + 8 degrees, 2x + 14 degrees, x + 26 degrees, and 78 degrees. What is the measure of the smallest angle?
A72 degrees
B58 degrees
C65 degrees
D87 degrees
Solution & Explanation:The angle sum is (3x + 8) + (2x + 14) + (x + 26) + 78 = 360. This simplifies to 6x + 126 = 360, so x = 39. The angles are 125, 92, 65, and 78 degrees, so the smallest is 65 degrees.
Problem 3Difficulty: Mastery
A diagram shows quadrilateral EFGH split by diagonal EG. In triangle EFG, angles E and F measure 64 degrees and 58 degrees. In triangle EGH, angle GEH is 2x + 4 degrees, angle GHE is x + 8 degrees, and angle EGH is 60 degrees. What is the measure of angle GHE?
A67 degrees
B44 degrees
C21 degrees
D55 degrees
Solution & Explanation:In triangle EGH, (2x + 4) + (x + 8) + 60 = 180. This gives 3x + 72 = 180, so x = 36. Angle GHE is x + 8 = 44 degrees.

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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 CCSS 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 choose the correct missing angle measure using triangle or quadrilateral angle-sum reasoning. 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.).

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