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. 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. 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 vertical angles.

Answer 1

To determine the measure of angle 3 based on the information given, we need to know the relationship between angle 1 and angle 3.

• If angle 1 is 63° and angle 3 is a corresponding angle (if they are in corresponding positions relative to a transversal cutting through parallel lines), then angle 3 would also be 63°.
• If angle 1 and angle 3 form a linear pair (they are adjacent angles that together make a straight line), then angle 3 would be 117° (which is 180° - 63°).
• If angle 3 is a vertical angle to angle 1 (formed by two intersecting lines), then angle 3 would also be 63°.

Since we do not have the figure, we cannot definitively determine the relationship between the two angles. Therefore, the most appropriate response given the ambiguity is:

"There is not enough information in the figure to establish this."

This option reflects the uncertainty without a visual reference to confirm how angle 3 relates to angle 1.