Exterior Angles of a Triangle Answers

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3

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
7

Which statements about the angles of the triangle are true? Check all that apply.

Question illustration
A
Angle 1 is an exterior angle.
B
Angle 2 is an exterior angle.
C
Angle 4 is an exterior angle.
D
Angle 7 is an adjacent interior angle.
E
Angle 6 is an adjacent interior angle. It is adjacent to the exterior angle 4.
F
Angles 6 and 8 are remote interior angles to the exterior angle 1.
G
Angles 6 and 7 are remote interior angles to the exterior angle 2.
H
Angles 7 and 8 are remote interior angles to the exterior angle 4.
9

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.”
10

The sum of the measures of two angles of a scalene triangle is calculated, and the result is the same as the measure of one of the external angles of a triangle. Which pair of angle measures was calculated?

A
the remote interior angles
B
the adjacent interior angles
C
the adjacent interior angle and the larger remote interior angle
D
the adjacent interior angle and the smaller remote interior angle
11

Which expression is equivalent to ?

Question illustration
A
Measure of angle 2 + measure of angle 3
Option A
B
Measure of angle 1 + measure of angle 2
Option B
C
Measure of angle 1 + measure of angle 3
Option C
D
Measure of angle 5 + measure of angle 6
Option D
12

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

Question illustration
Answer not available
13

What is ?

Question illustration
A
180°
B
270°
C
300°
D
360°
15

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.

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