Question

Adjacent Angles Quick Check

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Question
Use the image to answer the question.

An illustration shows two leftward rays emerging from a point and the internal angle is marked e. A vertical line emerging from the top ray forms an angle with the ray labeled f.

Determine if the two indicated angles are adjacent.

(1 point)
Responses

No, they do not share a common vertex.
No, they do not share a common vertex.

No, they do not share a common ray.
No, they do not share a common ray.

Yes, they share a common vertex.
Yes, they share a common vertex.

Yes, they share a common ray.
Yes, they share a common ray.
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Answer 1

[AI-generated answer — Bot GPT 3.5]

Yes, they share a common vertex.

Answer 2

Use the image to answer the question.

An illustration shows five rays with points near the arrows labeled A, B, C, D, and E in a counterclockwise direction, emerging from a common point labeled O. The points A, O, and E fall on a straight line. All the four angles are marked but unlabeled.

An illustration shows five rays with points near the arrows labeled A, B, C, D, and E in a counterclockwise direction, emerging from a common point labeled O. The points A, O, and E fall on a straight line. All the four angles are marked but unlabeled.

Which angle(s) are adjacent to ∠DOC ?

(1 point)
Responses

∠AOB and ∠EOA
angle upper A upper O upper B and angle upper E upper O upper A

∠AOD
angle upper A upper O upper D

∠DOB
angle upper D upper O upper B

∠EOD and ∠COB
angle upper E upper O upper D and angle upper C upper O upper B
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Answer 3

[AI-generated answer — Bot GPT 3.5]

∠AOB and ∠EOA

Answer 4

Adjacent Angles Quick Check

3 of 5 3 of 5 Items

Question
Use the image to answer the question.

An illustration shows three rays passing through three points from a common origin point at upper B. Point upper C is to the horizontal left of upper B. A ray from upper B joins upper C with an arrow near upper C. Point upper D is on the top inclined slightly to the right of point upper B. A ray from upper B joins upper D with an arrow near upper D. Point upper A is to top right of point upper B. A ray from upper B joins upper A with an arrow near upper A. Angle upper C upper B upper A is labeled as 155 degrees. Angle upper D upper B upper A is labeled as 60 degrees.

The measure of ∠ABD is 60° and the measure of ∠ABC is 155° . What is the measure of ∠DBC ?

(1 point)
Responses

215°
215 degrees

95°
95 degrees

180°
180 degrees

155°
155 degrees

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the measure of ∠DBC, we can subtract the measures of ∠ABD and ∠ABC from 180° because the three angles around point B form a straight line.

180° - 60° - 155° = 215°

Therefore, the measure of ∠DBC is 215°.

Answer 6

An obtuse ∠GHI has a measure of 135° . It contains adjacent angles GHJ and JHI . ∠GHJ has a measure of 112° . What is the measure of ∠JHI ?(1 point)

Responses

23°
23 degrees

68°
68 degrees

15°
15 degrees

90°

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the measure of ∠JHI, we can subtract the measure of ∠GHJ from the measure of ∠GHI.

∠JHI = ∠GHI - ∠GHJ
∠JHI = 135° - 112°
∠JHI = 23°

Therefore, the measure of ∠JHI is 23°.

Answer 8

If m∠ABC is 160° , and m∠ABD is 92° , what is the angle measure of DBC ? ∠ABD and ∠DBC are adjacent angles inside ∠ABC .(1 point)

Responses

92°
92 degrees

160°
160 degrees

68°
68 degrees

80°

Answer 9

[AI-generated answer — Bot GPT 3.5]

To find the measure of ∠DBC, we can subtract the measure of ∠ABD from the measure of ∠ABC.

∠DBC = ∠ABC - ∠ABD
∠DBC = 160° - 92°
∠DBC = 68°

Therefore, the angle measure of DBC is 68°.

Answer 10

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