To determine the measure of angle 3, we need to understand the relationship between angle 1 and angle 3. If angle 1 is 63°, then the relevant relationships could be:
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Corresponding angles: If angle 1 and angle 3 are corresponding angles (meaning they are in the same relative position at different intersections created by a transversal crossing parallel lines), then angle 3 would also be 63°.
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Vertical angles: If angle 1 and angle 3 are vertical angles (meaning they are opposite each other at an intersection), then angle 3 would also be 63°.
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Linear pair: If angle 1 and angle 3 are adjacent and form a straight line, then angle 3 would be 117° because the two angles would add up to 180° (180° - 63° = 117°).
Without a specific figure, we can't definitively state which of these relationships applies. However, the best responses would be either that angle 3 is also 63° if they are corresponding or vertical angles, or that angle 3 is 117° if they are a linear pair.
Given your options:
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If angle 1 and angle 3 are corresponding angles, the correct choice is: Angle 3 is 63° because angle 1 and angle 3 are corresponding angles.
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If they are vertical angles, the answer would also be: Angle 3 is 63° because angle 1 and angle 3 are vertical angles.
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If they form a straight line as part of a linear pair, the answer would be: Angle 3 is 117° because angle 1 and angle 3 form a line.
Choose the response based on the relationship specified in your figure.
1 answer