Question

Use the figure to answer the question.

Two intersecting lines form an x and have four angles at the point of intersection labeled clockwise from the top: 1, 2, 3, and 4.
If angle 1 in the picture is 63°
, what is the measure of angle 3? Why?

(1 point)
Responses

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

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.
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Answer 1

Angle 3 is 63° because angles 1 and 3 are vertical angles (opposite each other when two lines intersect) and vertical angles are congruent.