Solve Triangles Angle Sum Exterior Angles

Solve Triangles Angle Sum Exterior Angles

9th - 11th Grade

10 Qs

quiz-placeholder

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Solve Triangles Angle Sum Exterior Angles

Solve Triangles Angle Sum Exterior Angles

Assessment

Quiz

Mathematics

9th - 11th Grade

Practice Problem

Hard

CCSS
8.G.A.5

Standards-aligned

Created by

Barbara White

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Which of the following angles are remote interior angles to angle d? 

Angle a and Angle b
Angle b and Angle c
Angle a and Angle c
Angle a and Angle b and Angle c

Tags

CCSS.8.G.A.5

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Which of the following terms best describes Angle d? (remember that it's outside)

Remote interior angle
Corresponding angle
Exterior angle
Interior angle

Tags

CCSS.8.G.A.5

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the measure of angle b?

36o
56o
63o
117o

Answer explanation

Media Image

Method 1: Use the exterior angle theorem. You have the exterior angle (117°), so if you take away one remote interior angle (81°), you'll get the other one.

117 - 81 = b

Method 2: Find angle a since its a linear pair (180-117 = 63°). Then since angles in a triangle add to 180, you know 81° + 63° + b = 180, and you can solve for b.

Tags

CCSS.8.G.A.5

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find the measure of the indicated angle. (remember that the sum of interior angles is equal to 180 degrees)

95°

85°

35°

45°

Answer explanation

Media Image

Since all the angles add to 180, you can subtract 110 and 25 from 180.

180 - 110 - 25 = ___

Tags

CCSS.8.G.A.5

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Find the value of x by using the exterior angle theorem.

A
B
C
D

Answer explanation

Media Image

Use the exterior angle theorem to set up the equation shown in the picture (12x + 9x = 105).

Combine like terms (21x = 105).

Divide both sides by 21.

x = 5

Tags

CCSS.8.G.A.5

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Find the value of x by using the exterior angle theorem.

A
B
C
D

Answer explanation

Media Image

Use the exterior angle theorem to set up the equation shown to the left (3x+19 + 5x = 115).

Combine like terms to get

8x + 19 = 115

Subtract 19 from both sides.

8x = 96

Dived both sides by 8.

x = 12

Tags

CCSS.8.G.A.5

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find the measure of the indicated angle. 

145°

113°

102°

78°

Answer explanation

Media Image

Tags

CCSS.8.G.A.5

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