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.

Question

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

(1 point)
Responses

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

Answer 1

The correct response is:

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

When two lines intersect, the angles opposite each other are called vertical angles, and they are always equal. Thus, since angle 1 measures 63°, angle 3 also measures 63°.