Free Printable WorksheetMathGeometryMath CurriculumG-C.A.3

GEO.128 Find missing angle measures from arc information Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.128 Find missing angle measures from arc information. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.128 Find missing angle measures from arc information - Primary standard selected for prompt fields in this prompt cell: CCSS G-C.A.3. Skill statement in this prompt cell: Select the correct relationship between an angle and its intercepted arc and compute the missing angle measure. Associated standards listed with this skill in the curriculum source: CCSS G-C.A.3; FL MA.912.GR.5.3, 6.3; MA G-C.A.3; NY GEO G.G-C.A.3; 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.128 Find missing angle measures from arc information skill assessments:

Problem 1Difficulty: Mastery
A circle has three marked angles. Angle 1 is central and intercepts a 68 degree arc. Angle 2 is inscribed and intercepts that same 68 degree arc. Angle 3 is exterior from two secants and intercepts arcs 218 degrees and 68 degrees. What is m angle 1 + m angle 2 + m angle 3?
A143 degrees
B177 degrees
C184 degrees
D252 degrees
Solution & Explanation:Angle 1 is 68 degrees. Angle 2 is 68/2 = 34 degrees. Angle 3 is (218 - 68)/2 = 75 degrees. The sum is 68 + 34 + 75 = 177 degrees.
Problem 2Difficulty: Mastery
A chord-chord angle inside a circle intercepts arcs whose measures are in the ratio 3:5. The smaller intercepted arc is 72 degrees. What is the angle measure?
A60 degrees
B84 degrees
C96 degrees
D120 degrees
Solution & Explanation:If the smaller arc is 72 degrees and the ratio is 3:5, then one ratio unit is 24 degrees and the larger intercepted arc is 120 degrees. The interior angle is (72 + 120)/2 = 96 degrees.
Problem 3Difficulty: Mastery
A designer wants a 54 degree exterior angle using two secants. If the larger intercepted arc is 188 degrees, what smaller intercepted arc would make the design work?
A80 degrees
B94 degrees
C108 degrees
D134 degrees
Solution & Explanation:Use exterior angle = 1/2(larger arc - smaller arc). So 54 = 1/2(188 - s). Then 108 = 188 - s, so s = 80 degrees.

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Frequently Asked Questions

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QHow do I download and print this GEO.128 Find missing angle measures from arc information worksheet?

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QIs this GEO.128 Find missing angle measures from arc information worksheet free for teachers and homeschoolers?

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Yes! In addition to this printable worksheet, students can practice GEO.128 Find missing angle measures from arc information 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 Geometry Math students. It aligns with educational standard G-C.A.3 (Primary standard selected for prompt fields in this prompt cell: CCSS G-C.A.3. Skill statement in this prompt cell: Select the correct relationship between an angle and its intercepted arc and compute the missing angle measure. Associated standards listed with this skill in the curriculum source: CCSS G-C.A.3; FL MA.912.GR.5.3, 6.3; MA G-C.A.3; NY GEO G.G-C.A.3; 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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