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Triangle Exterior Angle Theorem - Printable Mathematics Worksheets year 10 - Wayground

Triangle Exterior Angle Theorem

10 questions

10th - 10th Grade

Mathematics

Triangle Exterior Angle Theorem is a free printable Grade 10 mathematics worksheet with 10 multiple-choice questions. It focuses on identifying the remote interior angles associated with an exterior angle, finding missing angle measures, and using the exterior angle theorem to solve for unknown values such as x. Students apply the theorem across angle-identification, numerical calculation, and algebraic problem-solving items rather than simply recalling its definition. The selected-response format gives learners repeated practice interpreting triangle diagrams, choosing the two remote interior angles, and connecting those angle measures to an exterior angle. This worksheet is suitable for guided practice, independent review, or a formative check after instruction. A complete answer key is included so teachers can review the reasoning and quickly identify which part of the process needs reinforcement.

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Worksheets

Triangle Exterior Angle Theorem

Total questions: 10

Name
Class
Date
1.
Which of the following angles are remote interior angles to angle d?
a)
Angle a and Angle b
b)
Angle b and Angle c
c)
Angle a and Angle c
d)
Angle a and Angle b and Angle c
2.
a)
A
b)
B
c)
C
d)
D
3.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
4.
a)
A
b)
B
c)
C
d)
D
5.

Find the missing angle

a)

112

b)

34

c)

146

d)

46

6.
Find the value of x by using the exterior angle theorem.
a)
A
b)
B
c)
C
d)
D
7.
Solve for x. 
a)
A
b)
B
c)
C
d)
D
8.
Solve for x.
a)
13
b)
3
c)
1
d)
4
9.
Solve for x.
a)
6
b)
8
c)
15
d)
13
10.
What is the measure of angle A in the triangle?
a)
116*
b)
25*
c)
62*
d)
54*
Answer Key

Triangle Exterior Angle Theorem

Total questions: 10

1.
a) Angle a and Angle b
2.
a) A
3.
a) 36o
4.
a) A
5.
c)

146

6.
b) B
7.
a) A
8.
b) 3
9.
a) 6
10.
c) 62*

FAQs

What does the Triangle Exterior Angle Theorem worksheet cover?

This Grade 10 worksheet uses 10 multiple-choice questions to practice the triangle exterior angle theorem. Students identify the remote interior angles, calculate missing angle measures, and solve for an unknown such as x by relating an exterior angle to the two nonadjacent interior angles.

How can I use this worksheet to teach the triangle exterior angle theorem?

First model how to locate the exterior angle and name the two remote interior angles in a triangle. Then work through one numerical angle item and one solve-for-x item, asking students to explain which two interior angles they added and why; assign the remaining multiple-choice questions for guided or independent practice.

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

Watch for students choosing the interior angle adjacent to the exterior angle instead of the two remote interior angles. Students may also add the wrong pair of angles, confuse the exterior angle with a triangle’s interior angle, or select an answer before completing the algebra needed to solve for x.

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

Wayground provides this worksheet as a printable PDF and as a digital quiz, and it includes a complete answer key for all 10 multiple-choice questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app, while the digital quiz can be assigned through Wayground for online completion and scoring.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so the triangle-angle prompts and multiple-choice options are easier to read. You can also apply a dyslexia-friendly font or translate the exterior-angle-theorem worksheet into another language when that better supports access to the questions.

Where can I find more worksheets like this on Wayground?

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