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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 117°
because angle 1 and angle 3 form a line.
Angle 3 is 117 degrees because angle 1 and angle 3 form a line.

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.
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11 answers

To determine the measure of angle 3 based on the given information that angle 1 is 63°, we need to analyze the relationships between the angles formed by the intersecting lines.

  1. 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 is 63°, angle 3, being its vertical angle, must also be 63°.

Therefore, the correct response is:

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

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