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 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 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 117°
because angle 1 and angle 3 form a line.

1 answer

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

Vertical angles are formed when two lines intersect, and they are always equal in measure. Therefore, if angle 1 measures 63°, angle 3, being its vertical angle, also measures 63°.