Use the image to answer the question.
An illustration shows three rays labeled A, B, and C emerging from a common point labeled O. The points A, O, and C fall on a straight line. Angle C O B is marked as 1 and angle B O A is marked as 2.
Are the two indicated angles adjacent? Why or why not?
(1 point)
Responses
No, the two angles do not share a common ray.
No, the two angles do not share a common ray. - no response given
No, the two angles do not share a common vertex.
No, the two angles do not share a common vertex. - no response given
Yes, the two angles share a common ray and vertex.
Yes, the two angles share a common ray and vertex. - correct
Yes, the angles equal 180 degrees.
Yes, the angles equal 180 degrees. - no response given
Yes, the two angles share a common ray and vertex.
m∠LMN
is 46°
, and contains adjacent angles LMO
and OMN
. m∠LMO=22°
. Which statement is true about the relationship of the angles?(1 point)
Responses
m∠OMN
is half of m∠LMN
.
angle upper O upper M upper N is half of angle upper L upper M upper N .
m∠OMN +m∠LMN =180°
.
angle upper O upper M upper N plus angle upper L upper M upper N equals 180 degrees .
m∠OMN=m∠LMN−m∠LMO
.
angle upper O upper M upper N equals angle upper L upper M upper N minus angle upper L upper M upper O .
m∠LMN<m∠LMO
.
m∠OMN=m∠LMN−m∠LMO.
Use the image to answer the question.
An illustration shows three rays from a common vertex with labeled angles. The first ray is inclined to the horizontal left of the common vertex with an arrow at the end. The second ray is inclined to the horizontal right of the common vertex with an arrow at the end. The third ray is to the top left of the common vertex with an arrow at the end. It is between the other two rays. The angle between the first and the third rays is labeled as left parenthesis 4 n plus 22 right parenthesis degrees. The angle between second and third rays is labeled as left parenthesis 8 n minus 10 right parenthesis degrees.
What is an accurate equation for the two adjacent angles?
(1 point)
Responses
(4n−8n)°−(22−10)°=180°
left parenthesis 4 n minus 8 n right parenthesis degrees minus left parenthesis 22 minus 10 right parenthesis degrees equals 180 degrees
(4n+22)°−(8n−10)°=180°
left parenthesis 4 n plus 22 right parenthesis degrees minus left parenthesis 8 n minus 10 right parenthesis degrees equals 180 degrees
(4n+8n)°+(22+10)°=180°
left parenthesis 4 n plus 8 n right parenthesis degrees plus left parenthesis 22 plus 10 right parenthesis degrees equals 180 degrees
(4n+22)°+(8n−10)°=180°