AnswersPre-Algebra - MA3119 B-CRParallel Lines Cut by a Transversal

Exterior Angles of a Triangle Answers

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The measure of angle 1 is 30°, and the measure of angle 2 is 110°. (Image is not drawn to scale).What is the measure of angle 4?

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A
40°
B
80°
C
140°
D
220°
2
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What is ?

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A
180°
B
270°
C
300°
D
360°
3

Cynthia is finding the measures of the labeled angles in this image. What is the least number of angle measures she needs to know to find the measures of all labeled angles in the image?

Question illustration
A
She only needs to know the measure of one angle, angle D.
B
She only needs to know the measure of one angle, angle A.
C
She only needs to know the measures of two angles, angles A and B.
D
She only needs to know the measures of two angles, but one of the angles must be one of the remote interior angles.
4

What is the sum of the measures of the exterior angles of any triangle?

A
180°
B
270°
C
360°
D
720°
5

What is the name of an angle that is formed by one side of a triangle and the extension of an adjacent side?

A
exterior angle
B
adjacent interior angle
C
remote interior angle
D
alternate interior angle
6

Which statement is true regarding the marked angle D in the figure below?

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A
Angle D is an exterior angle because it shares a side with the triangle.
B
Angle D is an exterior angle because it is not inside the triangle.
C
Angle D is an exterior angle because it is formed by one side of the triangle and by extending another side of the triangle.
D
Angle D is not an exterior angle.
7

Which angle is an adjacent interior angle?

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A
1
B
2
C
3
D
4
8

Several students made comments about this image. Which comment is true?

Question illustration
A
“If I know the measures of A and B, I can subtract those measures from 180 to find the measures of the other two angles.”
B
“If I know the measure of C, I can find the measure of angle A because they are the same.”
C
“If I know the measures of angles C and B, I can find the measures of A and D.”
D
“If I know the measure of angle A, I can find the measure of angle D by subtracting from 180.”
9

The measure of angle W is 100°, and the measure of angle Z is 68°. What is the measure of angle Y?

Question illustration
A
12°
B
32°
C
80°
D
168°
10

Which statements are true for the image below? Check all that apply.

Question illustration
A
Measure of angle B = measure of angle C + 33 degrees
Option A
B
Measure of angle B = 180 degrees minus (measure of angle D + 128 degrees)
Option B
C
Measure of angle B = 360 degrees minus (measure of angle D + 128 degrees)
Option C
D
Measure of angle D + measure of angle B + 128 degrees = 360 degrees
Option D
E
180 degrees = measure of angle D + measure of angle B + 128 degrees = 360 degrees
Option E
F
Measure of angle D = 360 degrees minus 33 degrees
Option F
G
Measure of angle D = 180 degrees minus 33 degrees
Option G
H
Measure of angle B = measure of angle D + 128 degrees
Option H

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