Adjacent Angles Quick Check
1 of 5 1 of 5 Items
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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10 answers
Yes, they share a common vertex.
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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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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∠AOB and ∠EOA
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
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
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°.
180° - 60° - 155° = 215°
Therefore, the measure of ∠DBC is 215°.
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°
Responses
23°
23 degrees
68°
68 degrees
15°
15 degrees
90°
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°.
∠JHI = ∠GHI - ∠GHJ
∠JHI = 135° - 112°
∠JHI = 23°
Therefore, the measure of ∠JHI is 23°.
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°
Responses
92°
92 degrees
160°
160 degrees
68°
68 degrees
80°
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°.
∠DBC = ∠ABC - ∠ABD
∠DBC = 160° - 92°
∠DBC = 68°
Therefore, the angle measure of DBC is 68°.
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1 answer