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Use the figure to answer the question. 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. 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. 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 vertical angles.

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To determine the measure of angle 3 based on angle 1 being 63°, we need to consider the relationships between angles in the figure, particularly whether they are corresponding angles, supplementary angles, or vertical angles.

  1. If angle 1 and angle 3 are corresponding angles, then they are equal, and angle 3 would also be 63°.
  2. If angle 1 and angle 3 are supplementary angles, meaning they add up to 180°, then angle 3 would be 117° (180° - 63° = 117°).
  3. If angle 1 and angle 3 are vertical angles, they would also be equal, making angle 3 63°.

Without the figure, we cannot definitively determine the relationship. If the options provided do not adequately specify the context or the positions of the angles in relation to the lines and other angles, the response might need to be:

"There is not enough information in the figure to establish this."

However, if you can confirm that angles 1 and 3 are indeed corresponding or vertical, then you can choose the appropriate conclusion based on that. If they are supplementary, then you would choose the option that states angle 3 is 117°. Be sure to rely on the diagram to accurately assess the relationships between the angles.