Free Printable WorksheetMathGeometryMath CurriculumG-C.A.2

GEO.127 Find missing arc measures from angle 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.127 Find missing arc measures from angle information. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.127 Find missing arc measures from angle information - Primary standard selected for prompt fields in this prompt cell: CCSS G-C.A.2. Skill statement in this prompt cell: Select the correct arc-measure equation and determine the missing arc measure. Associated standards listed with this skill in the curriculum source: CCSS G-C.A.2; FL MA.912.GR.6.2; MA G-C.A.2; NY GEO G.G-C.A.2; 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. 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.127 Find missing arc measures from angle information skill assessments:

Problem 1Difficulty: Mastery
Two tangents from an outside point form a 72-degree angle. The minor arc is 2t + 24 degrees, and the major arc is 4t + 84 degrees. The minor arc is labeled x. Which equation and value are correct?
A72 = 1/2((4t + 84) + (2t + 24)); x = 46 degrees
B72 = (4t + 84) - (2t + 24); x = 84 degrees
C72 = 180 - (4t + 84); x = 300 degrees
D72 = 1/2((4t + 84) - (2t + 24)); x = 108 degrees
Solution & Explanation:For two tangents, use half the difference of major and minor arcs. Solving 144 = 2t + 60 gives t = 42, so the minor arc is 2(42) + 24 = 108 degrees.
Problem 2Difficulty: Mastery
Two secants from the same external point form a 30-degree angle. The near arc is x. The other two non-intercepted arcs measure 48 degrees and 112 degrees, so the far arc is 360 - x - 48 - 112. Which equation and value are correct?
A30 = 1/2((360 - x - 48 - 112) + x); x = 140 degrees
B30 = (360 - x - 48 - 112) - x; x = 85 degrees
C30 = 1/2((360 - x - 48 - 112) - x); x = 70 degrees
D30 = 180 - x; x = 150 degrees
Solution & Explanation:First express the far arc as 200 - x. Then 30 = 1/2((200 - x) - x), so 60 = 200 - 2x and x = 70 degrees.
Problem 3Difficulty: Mastery
Two chords intersect inside a circle. The angle formed is 79 degrees, and the intercepted arcs are x degrees and x + 38 degrees. Which equation and smaller arc measure are correct?
A79 = 1/2((x + 38) - x); smaller arc = 120 degrees
B79 = 1/2(x + x + 38); smaller arc = 60 degrees
C79 = x + x + 38; smaller arc = 20.5 degrees
D79 = 180 - (x + x + 38); smaller arc = 30 degrees
Solution & Explanation:The angle from intersecting chords equals half the sum of the intercepted arcs. Thus 158 = 2x + 38, so x = 60 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 Geometry Math students. It aligns with educational standard G-C.A.2 (Primary standard selected for prompt fields in this prompt cell: CCSS G-C.A.2. Skill statement in this prompt cell: Select the correct arc-measure equation and determine the missing arc measure. Associated standards listed with this skill in the curriculum source: CCSS G-C.A.2; FL MA.912.GR.6.2; MA G-C.A.2; NY GEO G.G-C.A.2; 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. Use this prompt-provided wording as the supporting standard description for this workflow.).

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