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Triangle Sum and Exterior Angle Theorems - Printable Mathematics Worksheets year 10 - Wayground

Triangle Sum and Exterior Angle Theorems

10 questions

10th - 10th Grade

Mathematics

Triangle Sum and Exterior Angle Theorems is a Grade 10 mathematics worksheet with 10 multiple-choice questions focused on finding missing angle measures and solving for variables in triangle-angle relationships. Students apply the triangle sum theorem, identify angle values such as angle b, and use the exterior angle theorem in selected problems rather than answering definition-only questions. This free printable worksheet gives students focused practice moving from geometric relationships to numerical and algebraic solutions. It is useful for independent practice, guided review, or a quick check of whether students can select the correct answer after setting up an angle equation. A complete answer key is included for efficient checking and feedback.

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Worksheets

Triangle Sum and Exterior Angle Theorems

Total questions: 10

Name
Class
Date
1.

Find the missing angle.

a)

59°59\degree

b)

29°29\degree

c)

180°180\degree

d)

90°90\degree

2.

Find the missing angle.

a)

117°117\degree

b)

27°27\degree

c)

63°63\degree

d)

60°60\degree

3.

Find the missing angle.

a)

84°84\degree

b)

52°52\degree

c)

54°54\degree

d)

22°22\degree

4.
Solve for x.
a)
16
b)
11
c)
50
d)
6
5.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
6.
Solve for x.
a)
6
b)
-10
c)
7
d)
-9
7.
Find the value of x by using the exterior angle theorem.
a)
A
b)
B
c)
C
d)
D
8.

Solve for x.

a)

34

b)

9

c)

109

d)

7

9.
Solve for x.
a)
6
b)
8
c)
15
d)
13
10.

Solve for x.

a)

13

b)

8

c)

11

d)

4

Answer Key

Triangle Sum and Exterior Angle Theorems

Total questions: 10

1.
b)

29°29\degree

2.
c)

63°63\degree

3.
c)

54°54\degree

4.
d) 6
5.
a) 36o
6.
c) 7
7.
b) B
8.
b)

9

9.
a) 6
10.
c)

11

FAQs

What does the Triangle Sum and Exterior Angle Theorems worksheet cover?

This Grade 10 worksheet covers applying the triangle sum theorem and exterior angle theorem to find missing angles and solve for x. Its 10 multiple-choice items require students to interpret angle relationships, set up or evaluate the associated equations, and select numerical solutions such as angle measures or values of x.

How can I use this worksheet to teach the triangle sum and exterior angle theorems?

Introduce the triangle sum theorem by having students identify the known interior angles and explain why the missing angle is determined from the triangle relationship. Then model an exterior-angle problem by naming the two remote interior angles before students complete the worksheet’s multiple-choice items, asking them to justify both the theorem they chose and the equation used to solve for x.

What mistakes should I watch for when students complete this angle theorem worksheet?

Watch for students using the triangle sum relationship on an exterior-angle item, or treating an exterior angle as one of the two remote interior angles. In the solve-for-x questions, students may also select an answer before isolating x or make an arithmetic or sign error when simplifying the angle equation.

How do I assign and grade this Triangle Sum and Exterior Angle Theorems worksheet?

On Wayground, assign it as a digital quiz or download it as a printable PDF for students to complete on paper. The worksheet includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format can also support schools that are reducing screen time.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to increase font size or spacing so the angle diagrams, answer choices, and solve-for-x prompts are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet’s written directions into another language while keeping the mathematical expressions and answer choices available for practice.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.