Question
Two intersecting lines form an x and have four angles at the point of intersection labeled clockwise from the top: 1, 2, 3, and 4.
If angle 1 in the picture is 63°
, what is the measure of angle 3? Why?
(1 point)
Responses
Angle 3 is 63°
because angle 1 and angle 3 are corresponding angles.
Angle 3 is 63 degrees because angle 1 and angle 3 are corresponding angles.
Angle 3 is 63°
because angle 1 and angle 3 are vertical angles.
Angle 3 is 63 degrees because angle 1 and angle 3 are vertical angles.
There is not enough information in the figure to establish this.
There is not enough information in the figure to establish this.
Angle 3 is 117°
because angle 1 and angle 3 form a line.
If angle 1 in the picture is 63°
, what is the measure of angle 3? Why?
(1 point)
Responses
Angle 3 is 63°
because angle 1 and angle 3 are corresponding angles.
Angle 3 is 63 degrees because angle 1 and angle 3 are corresponding angles.
Angle 3 is 63°
because angle 1 and angle 3 are vertical angles.
Angle 3 is 63 degrees because angle 1 and angle 3 are vertical angles.
There is not enough information in the figure to establish this.
There is not enough information in the figure to establish this.
Angle 3 is 117°
because angle 1 and angle 3 form a line.
Answers
GPT-4o mini
To find the measure of angle 3 given that angle 1 is 63°, we should analyze the relationship between these angles.
When two lines intersect, the angles formed at their intersection have specific relationships:
- Angles that are opposite each other (non-adjacent) are called **vertical angles** and are equal.
- Angles that are next to each other (adjacent) are called **supplementary angles** and they add up to 180°.
In this case:
- Angle 1 (63°) and angle 3 are vertical angles since they are opposite each other at the intersection.
Therefore, the correct reasoning is:
**Angle 3 is 63° because angle 1 and angle 3 are vertical angles.**
This is the correct answer, so you would choose that response.
When two lines intersect, the angles formed at their intersection have specific relationships:
- Angles that are opposite each other (non-adjacent) are called **vertical angles** and are equal.
- Angles that are next to each other (adjacent) are called **supplementary angles** and they add up to 180°.
In this case:
- Angle 1 (63°) and angle 3 are vertical angles since they are opposite each other at the intersection.
Therefore, the correct reasoning is:
**Angle 3 is 63° because angle 1 and angle 3 are vertical angles.**
This is the correct answer, so you would choose that response.