Free Printable WorksheetMathGeometryMath CurriculumG-C.B.5

GEO.129 Solve problems with cyclic quadrilaterals Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.129 Solve problems with cyclic quadrilaterals. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.129 Solve problems with cyclic quadrilaterals - Primary standard selected for prompt fields in this prompt cell: CCSS G-C.B.5. Skill statement in this prompt cell: Select the correct cyclic-quadrilateral property and compute a missing angle measure. Associated standards listed with this skill in the curriculum source: CCSS G-C.B.5; FL MA.912.GR.6.4; MA G-C.B.5; NY GEO G.G-C.B.5. Use this prompt-provided wording as the supporting standard description for this workflow.

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

Geometry

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 GEO.129 Solve problems with cyclic quadrilaterals skill assessments:

Problem 1Difficulty: Mastery
In cyclic quadrilateral ABCD, angle A = x + 40 degrees, angle C = 2x + 20 degrees, and the exterior angle at B is x + 70 degrees. What is angle D?
A70 degrees
B90 degrees
C110 degrees
D120 degrees
Solution & Explanation:First use opposite angles A and C: (x + 40) + (2x + 20) = 180. Then 3x + 60 = 180, so x = 40. The exterior angle at B is x + 70 = 110 degrees, and an exterior angle equals the opposite interior angle D. Therefore angle D = 110 degrees.
Problem 2Difficulty: Mastery
In cyclic quadrilateral ABCD, the exterior angle at A is 3k + 20 degrees, and the opposite interior angle C is 7k - 4 degrees. What is the interior angle at A?
A38 degrees
B104 degrees
C142 degrees
D152 degrees
Solution & Explanation:The exterior angle at A equals the opposite interior angle C. Set 3k + 20 = 7k - 4, so 24 = 4k and k = 6. The exterior angle at A is 38 degrees, so the interior angle at A is 180 - 38 = 142 degrees.
Problem 3Difficulty: Mastery
A cyclic quadrilateral's vertices go around the circle in the order P, R, Q, S. Angle P is 116 degrees and angle R is 82 degrees. What are angle Q and angle S?
Aangle Q = 64 degrees, angle S = 98 degrees
Bangle Q = 82 degrees, angle S = 116 degrees
Cangle Q = 98 degrees, angle S = 64 degrees
Dangle Q = 116 degrees, angle S = 82 degrees
Solution & Explanation:With order P, R, Q, S, the opposite pairs are P with Q and R with S. Therefore angle Q = 180 - 116 = 64 degrees and angle S = 180 - 82 = 98 degrees.

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Frequently Asked Questions

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QIs this GEO.129 Solve problems with cyclic quadrilaterals worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Geometry Math students. It aligns with educational standard G-C.B.5 (Primary standard selected for prompt fields in this prompt cell: CCSS G-C.B.5. Skill statement in this prompt cell: Select the correct cyclic-quadrilateral property and compute a missing angle measure. Associated standards listed with this skill in the curriculum source: CCSS G-C.B.5; FL MA.912.GR.6.4; MA G-C.B.5; NY GEO G.G-C.B.5. Use this prompt-provided wording as the supporting standard description for this workflow.).

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