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. 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.

Question

GPT-4o mini · Answer

To determine the measure of angle 3 based on the information given about angle 1 being 63°, we would need to understand the relationship between angles 1 and 3.

If angles 1 and 3 are corresponding angles (when two parallel lines are crossed by a transversal), then angle 3 would also be 63°.

If angles 1 and 3 are on the same line (supplementary angles), then angle 3 would be 117° (180° - 63°).

If angles 1 and 3 are vertical angles (formed by two intersecting lines), then angle 3 would again be 63°.

If none of these relationships apply or if there is no figure provided to clarify the relationship, we might not have enough information.

Based on typical scenarios, if angle 1 is 63° and assuming angles 1 and 3 are corresponding angles or vertical angles, the correct responses might be:

Angle 3 is 63° because angle 1 and angle 3 are corresponding angles.

OR

Angle 3 is 63° because angle 1 and angle 3 are vertical angles.

If there's no information suggesting that angle 3 can be concluded to be 117° or that there isn't enough information, it leans towards one of the first two responses being accurate.