Free Printable WorksheetMathGrade 4Math Curriculum4.MD.C.7

4.135 Decompose Angles and Apply Additive Angle Measures Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 4 Math worksheet provides structured practice on 4.135 Decompose Angles and Apply Additive Angle Measures. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Given a diagram of adjacent angles, select the unknown angle measure using additive angle reasoning. (CCSS 4.MD.C.7; FL B.E.S.T. MA.4.GR.1.3)

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 4

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 4.135 Decompose Angles and Apply Additive Angle Measures skill assessments:

Problem 1Difficulty: Mastery
In the geometric model for the snowplow blade sketch, angle HBM is made from five adjacent angles. The smaller angles are shown as angle HBI is 18 degrees, angle IBJ is 39 degrees, angle JBK is 34 degrees, angle KBL is 27 degrees, and angle LBM is 43 degrees. Which choice is x, the measure of angle HBM?
A204 degrees
B161 degrees
C186 degrees
D61 degrees
Solution & Explanation:To find the whole angle, add the adjacent parts: 18 + 39 + 34 + 27 + 43 = 161. So the measure of angle HBM is 161 degrees.
Problem 2Difficulty: Mastery
On a class sketch of the geoboard angle model, angle CUH is made from five adjacent angles. The smaller angles are shown as angle CUD is 42 degrees, angle DUE is 25 degrees, angle EUF is 47 degrees, angle FUG is 36 degrees, and angle GUH is 28 degrees. Which choice is x, the measure of angle CUH?
A178 degrees
B225 degrees
C183 degrees
D197 degrees
Solution & Explanation:To find the whole angle, add the adjacent parts: 42 + 25 + 47 + 36 + 28 = 178. So the measure of angle CUH is 178 degrees.
Problem 3Difficulty: Mastery
In a student diagram of the zip-line support drawing, angle XNC is made from five adjacent angles. The smaller angles are shown as angle XNY is 24 degrees, angle YNZ is 37 degrees, angle ZNA is 33 degrees, angle ANB is 41 degrees, and angle BNC is 19 degrees. Which choice is x, the measure of angle XNC?
A195 degrees
B171 degrees
C176 degrees
D154 degrees
Solution & Explanation:To find the whole angle, add the adjacent parts: 24 + 37 + 33 + 41 + 19 = 154. So the measure of angle XNC is 154 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 4 Math students. It aligns with educational standard 4.MD.C.7 (Primary standard selected for prompt fields in this prompt cell: CCSS 4.MD.C.7. Skill statement in this prompt cell: Given a diagram of adjacent angles, select the unknown angle measure using additive angle reasoning. Associated standards listed with this skill in this prompt cell: CCSS 4.MD.C.7; FL B.E.S.T. MA.4.GR.1.3. Use this prompt-provided wording as the supporting standard description for this workflow.).

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