1 is above 3, 4 is next to 2
If angle 1 in the picture is 63° , what is the measure of angle 3? Why?
(1 point)
Responses
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.
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.
Angle 3 is 63° because angle 1 and angle 3 are corresponding angles.
Based on the provided statements, it is not possible to determine the relationship between angle 1 and angle 3 without a relevant diagram or additional information. Typically, the phrases "is above" and "is next to" are not sufficient to define a clear geometric relationship between angles that would allow for determining the measure of one angle based on another.
That being said, if angle 1 and angle 3 are "vertical angles" (also known as opposite angles), then angle 3 would indeed be 63° because vertical angles are equal. However, if angle 1 and angle 3 "form a line" (meaning they are supplementary), then angle 3 would be 117° since supplementary angles add up to 180° (180° - 63° = 117°). Corresponding angles are equal as well, but that term typically applies to the angles formed by a transversal intersecting two parallel lines.
Therefore, without additional information or a diagram, none of the statements can be conclusively determined as correct or incorrect. However, if angle 1 and angle 3 are stated to be vertical angles, then the correct response would be: "Angle 3 is 63° because angle 1 and angle 3 are vertical angles." If they form a line, the correct response is: "Angle 3 is 117° because angle 1 and angle 3 form a line." Corresponding angles do not apply without further context that would indicate that angle 1 and angle 3 are in that specific relationship with parallel lines and a transversal.