Question
Use the figure to answer the question.
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 vertical angles.
Angle 3 is 63 degrees because angle 1 and angle 3 are vertical angles.
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.
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°
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 vertical angles.
Angle 3 is 63 degrees because angle 1 and angle 3 are vertical angles.
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.
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°
Answers
GPT-4o mini
To answer your question regarding the measure of angle 3 based on the given angle 1 which measures 63°, we need to know the relationship between angle 1 and angle 3.
If angle 3 is positioned such that it is directly opposite angle 1 (for example, if they are formed by two intersecting lines), then angle 1 and angle 3 are vertical angles, which means they are congruent. Therefore, if angle 1 is 63°, then angle 3 would also be 63°.
If angle 3 is positioned such that it is on the same side of a transversal and corresponding to angle 1, then they would be corresponding angles, and angle 3 would also be 63°.
If angle 3 is adjacent to angle 1 and they form a linear pair (i.e., they add up to 180°), then angle 3 would be 117° because 180° - 63° = 117°.
Since you did not include the specific figure or the relationship of the angles, it's hard to definitively conclude which option is correct. However, based on standard geometric principles:
- If angle 3 is vertical to angle 1 or corresponds to it: **Angle 3 is 63° because angle 1 and angle 3 are vertical angles (or corresponding angles).**
- If angle 3 is supplementary to angle 1: **Angle 3 is 117°.**
Please select the option that best describes the relationship between angle 1 and angle 3 in the figure provided.
If angle 3 is positioned such that it is directly opposite angle 1 (for example, if they are formed by two intersecting lines), then angle 1 and angle 3 are vertical angles, which means they are congruent. Therefore, if angle 1 is 63°, then angle 3 would also be 63°.
If angle 3 is positioned such that it is on the same side of a transversal and corresponding to angle 1, then they would be corresponding angles, and angle 3 would also be 63°.
If angle 3 is adjacent to angle 1 and they form a linear pair (i.e., they add up to 180°), then angle 3 would be 117° because 180° - 63° = 117°.
Since you did not include the specific figure or the relationship of the angles, it's hard to definitively conclude which option is correct. However, based on standard geometric principles:
- If angle 3 is vertical to angle 1 or corresponds to it: **Angle 3 is 63° because angle 1 and angle 3 are vertical angles (or corresponding angles).**
- If angle 3 is supplementary to angle 1: **Angle 3 is 117°.**
Please select the option that best describes the relationship between angle 1 and angle 3 in the figure provided.