To determine the measure of angle 3 based on the information given, we need to identify the relationship between angle 1 and angle 3.
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If angle 3 is corresponding to angle 1 in a situation involving parallel lines cut by a transversal, then angle 3 would also be 63° because corresponding angles are equal.
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If angle 1 and angle 3 are vertical angles, they are also equal, meaning angle 3 would be 63°.
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If angle 1 and angle 3 form a linear pair (meaning they are supplementary and add up to 180°), then angle 3 would be 117° (180° - 63°).
Without a specific picture to analyze, we can't definitively determine the relationship. However, the most likely responses, given typical geometric scenarios, would either be stating that angle 3 is 63° due to corresponding angles or vertical angles, or 117° if they form a line.
If I had to choose based on common geometric relationships and assuming angle 1 is either corresponding to or vertical with respect to angle 3, I would say:
- Angle 3 is 63° because angle 1 and angle 3 are corresponding angles.
or
- Angle 3 is 63° because angle 1 and angle 3 are vertical angles.
Otherwise, if angle 1 and angle 3 form a linear relationship, then:
- Angle 3 is 117° because angle 1 and angle 3 form a line.
Thus, without the visual, the best response is one affirming the equality due to either correspondence or vertical angles, or the supplementary nature if they form a line.