To identify the angles that measure 124° when two lines (c and d) are parallel (c//d), we need to consider the properties of angles formed by a transversal intersecting parallel lines.
Typically, when a transversal crosses parallel lines, various angle pairs form:
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Corresponding Angles: These are angles that are in the same position on both lines with respect to the transversal. If one angle measures 124°, the corresponding angle on the other line also measures 124°.
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Alternate Interior Angles: These angles are on opposite sides of the transversal and between the two lines. If one of these angles measures 124°, the alternate interior angle will also measure 124°.
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Consecutive Interior Angles: These angles are on the same side of the transversal and inside the parallel lines. If one of these angles measures 124°, the consecutive interior angle with it will measure 56° (since the two must sum to 180°).
Given the properties mentioned, if you have one angle at 124°, you can identify at least two other angles that would also measure 124° through the corresponding and alternate interior angle relationships.
However, without the diagram in front of me, I can't specifically name the angles. But you would generally look for:
- The angle that is 124°.
- The corresponding angle on the alternative line.
- The alternate interior angle on the opposite side of the transversal.
If you have specific angle labels (like angle 1, angle 2, etc.), you would provide those coordinates accordingly.
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