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

Question

(1 point)
Responses

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.

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.

Answer 1

To determine the measure of angle 3 based on the information given, we need to analyze the relationships between the angles.

If angle 3 is directly opposite angle 1, then they are vertical angles, and thus angle 3 would also measure 63°.

If angle 1 and angle 3 are on a straight line, they would be supplementary angles, meaning their measures add up to 180°. In this case, angle 3 would measure 117°.

If angle 1 and angle 3 are corresponding angles, they are also equal if a transversal crosses parallel lines, which would mean angle 3 is also 63°.

Without a specific diagram, we cannot accurately say which of these relationships applies. However, the best response based solely on the nature of vertical angles would be:

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

If assuming they form a linear pair, then it would be:

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

Choose the response that fits the relationships shown in the figure.