If angle 1 in the picture is 63", what is the measure of angle 3? Why?

Question

(1 point)

Angle 3 is 117" 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 because angle 1 and angle 3 are corresponding angles

There is not enough information in the figure to establish this

Answer 1

To determine the measure of angle 3 based on angle 1 being 63°, we need to consider the relationships between angles.

1. If angle 1 and angle 3 are adjacent and form a straight line (supplementary angles):

   • Then angle 3 would be 117° (since 180° - 63° = 117°).

2. If angle 1 and angle 3 are vertical angles:

   • Then angle 3 would also be 63° because vertical angles are equal.

3. If angle 1 and angle 3 are corresponding angles (in a parallel line situation):

   • Then angle 3 would again be 63° because corresponding angles are equal.

Since we do not have the figure and are not aware of the relationships between the angles, we cannot definitively conclude what angle 3 is without additional information about the arrangement of angles.

Therefore, the most appropriate answer based on the information provided would be: There is not enough information in the figure to establish this.