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 117°
because angle 1 and angle 3 form a line.
Angle 3 is 117 degrees because angle 1 and angle 3 form a line.
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 63°
because angle 1 and angle 3 are vertical angles.
Angle 3 is 63 degrees because angle 1 and angle 3 are vertical angles.
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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 117°
because angle 1 and angle 3 form a line.
Angle 3 is 117 degrees because angle 1 and angle 3 form a line.
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 63°
because angle 1 and angle 3 are vertical angles.
Angle 3 is 63 degrees because angle 1 and angle 3 are vertical angles.
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Answers
GPT-4o mini
To determine the measure of angle 3 based on the given information that angle 1 is 63°, we need to analyze the relationships between the angles formed by the intersecting lines.
1. Angle 1 and angle 3 are **vertical angles**. Vertical angles are formed when two lines intersect, and they are always equal in measure.
Since angle 1 is 63°, angle 3, being its vertical angle, must also be 63°.
Therefore, the correct response is:
**Angle 3 is 63° because angle 1 and angle 3 are vertical angles.**
1. Angle 1 and angle 3 are **vertical angles**. Vertical angles are formed when two lines intersect, and they are always equal in measure.
Since angle 1 is 63°, angle 3, being its vertical angle, must also be 63°.
Therefore, the correct response is:
**Angle 3 is 63° because angle 1 and angle 3 are vertical angles.**
guppy
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