1≈ 3

Question

2≈ 4
Vertical angles

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

(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

Given that angle 1 measures 63°, we can analyze the options provided regarding angle 3.

1. Vertical angles are pairs of opposite angles formed by two intersecting lines. Vertical angles are always equal. If angle 1 is 63°, then angle 3, being the vertical angle to angle 1, must also be 63°.

2. Corresponding angles occur when two parallel lines are crossed by a transversal. If angle 1 and angle 3 were corresponding angles, then they would also be equal if the lines are indeed parallel. However, we don't have any information confirming that in this case.

3. Angles forming a line suggests they are supplementary (add up to 180°), but that isn't the relationship between angle 1 and angle 3 since they are vertical angles.

4. If there is any confusion regarding the figure, one might consider if further information is necessary; however, with the information stating that angle 1 is 63°, we can make a determination about angle 3.

Based on the provided options, the correct answer would be:

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