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Solve Problems for Unknown Angles

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Lesson Plans and Worksheets for Grade 4
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More Lessons for Grade 4
Common Core For Grade 4



Videos, examples, and solutions to help Grade 4 students learn how to use the addition of adjacent angle measures to solve problems using a symbol for the unknown angle measure.

Common Core Standards: 4.MD.7

New York State Common Core Math Grade 4, Module 4, Lesson 11

Download worksheets for Grade 4, Module 4, Lesson 11

NYS Math Module 4 Grade 4 Lesson 11 Concept Development

Problem 1: Decompose a 360° angle into smaller angles. Recognize that the smaller angles add up to 360°.

Problem 2: Given two intersecting lines and the measurement of one angle, determine the measurement of the other three angles. Terms for Angles: Vertical Angles, Supplementary Angles, Complementary Angles
NYS Math Module 4 Grade 4 Lesson 11 Problem Set

Write an equation and solve for the unknown angle measurements numerically.
Questions 1 - 4

Write an equation and solve for the unknown angles numerically.
5. O is the intersection of AB and CD.
∠DOA is 160 and ∠AOC is 20°.

6. O is the intersection of RS and TV. ∠TOS is 125°.

7. O is the intersection of WX, YZ, and UO.
∠XOZ is 36°.



NYS Math Module 4 Grade 4 Lesson 11 Homework

Write an equation and solve for the unknown angle measurements numerically.

Question 1 - 4.

5. O is the intersection of AB and CD. ∠COB is 145° and ∠AOC is 35°. Find e° and f°.

6. O is the intersection of QR and ST. ∠QOS is 55°.

7. O is the intersection of UV, WX and YO. ∠VOX is 46°. Find j°, k° and m°.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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