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
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.
1 answer
The correct response is:
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. Since angle 1 measures 63°, angle 3, as its vertical angle, also measures 63°.
