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)
No, the two indicated angles are not adjacent. Angle e and angle f are not next to each other, they are separated by the vertical line.
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
Yes, they share a common ray.
Yes, they share a common ray.
No, they do not share a common ray.
No, they do not share a common ray.
No, they do not share a common vertex.
No, they do not share a common vertex.
Yes, they share a common vertex.
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
∠AOD
angle upper A upper O upper D
∠AOB and ∠EOA
angle upper A upper O upper B and angle upper E upper O upper A
∠DOB
angle upper D upper O upper B
∠EOD and ∠COB
∠AOB and ∠EOA.
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
180°
180 degrees
95°
95 degrees
155°
95°
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°
23°.
Explanation: The measure of ∠JHI can be found by subtracting the measure of ∠GHJ from the total measure of ∠GHI.
∠JHI = ∠GHI - ∠GHJ
∠JHI = 135° - 112°
∠JHI = 23°