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

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