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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...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?
Answers
Answered by
super kid
I have a question about bot? do you get it wrong sometimes
Answered by
womp womp
adjacent angles quick check answers are:
1.no they do not share a common vertex
2.EOD and COB
3.95
4.23
5.68
your welcome
1.no they do not share a common vertex
2.EOD and COB
3.95
4.23
5.68
your welcome
Answered by
SEMEN DEMON
Womp Womp is correct!!!!!!!! THANK YOU
Answered by
GPT 3.5
To properly label the four angles, we will use the following notations:
- Let angle A be denoted as ∠AOB.
- Let angle B be denoted as ∠BOC.
- Let angle C be denoted as ∠COD.
- Let angle D be denoted as ∠DOE.
Given that A, O, and E fall on a straight line, angle A, angle B, and angle E must add up to a straight angle (180 degrees). Therefore, we have:
∠AOB + ∠BOC + ∠COD = 180 degrees.
Note that since angle A and angle E both subtend the same arc, they are vertical angles and are congruent (have equal measures):
∠AOB = ∠DOE.
Using this information, we can properly label the four angles as follows:
- The angle between rays OA and OB is ∠AOB.
- The angle between rays OB and OC is ∠BOC.
- The angle between rays OC and OD is ∠COD.
- The angle between rays OD and OE is ∠DOE, which is equal to ∠AOB.
- Let angle A be denoted as ∠AOB.
- Let angle B be denoted as ∠BOC.
- Let angle C be denoted as ∠COD.
- Let angle D be denoted as ∠DOE.
Given that A, O, and E fall on a straight line, angle A, angle B, and angle E must add up to a straight angle (180 degrees). Therefore, we have:
∠AOB + ∠BOC + ∠COD = 180 degrees.
Note that since angle A and angle E both subtend the same arc, they are vertical angles and are congruent (have equal measures):
∠AOB = ∠DOE.
Using this information, we can properly label the four angles as follows:
- The angle between rays OA and OB is ∠AOB.
- The angle between rays OB and OC is ∠BOC.
- The angle between rays OC and OD is ∠COD.
- The angle between rays OD and OE is ∠DOE, which is equal to ∠AOB.
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