To determine which option shows a pair of angles that are not congruent, we need to know how the triangles △JKL and △DEF are being mapped onto each other.
Assuming that the triangles are congruent and the mapping is done correctly, all angles should match accordingly. If we take each option provided:
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Option #1: ∠L≅∠D - This suggests that angle L in triangle JKL is congruent to angle D in triangle DEF.
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Option #2: ∠K≅∠E - This suggests that angle K in triangle JKL is congruent to angle E in triangle DEF.
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Option #3: ∠J≅∠D - This suggests that angle J in triangle JKL is congruent to angle D in triangle DEF.
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Option #4: ∠L≅∠F - This suggests that angle L in triangle JKL is congruent to angle F in triangle DEF.
Without specific information about the correspondence of the angles in the triangles, we cannot definitively identify which angles are not congruent. However, typically when matching triangles:
- If ∠D corresponds to ∠J,
- If ∠E corresponds to ∠K,
- If ∠F corresponds to ∠L,
Then any option that suggests a different correspondence than these would indicate a pair of angles that are not congruent.
In conclusion: If we take the standard mapping into account, we might suspect that either Option #3 or Option #4 could reflect a pair that is not correctly congruent based on the proper matching of angles. Thus, we cannot definitively determine which option is incorrect without the specific mapping provided.
However, if you know the correct mapping order (like J-K-L to D-E-F), you can use that to find the incorrect pair. Thus, if ∠D does not correspond correctly with ∠J or ∠L with ∠F, one of those options would be the answer.
If forced to choose without additional context, Option #4 may be your best bet as usually, the last letter in such correspondences doesn't correspond directly in basic geometric properties unless altered in some specific arrangements. However, this is speculative without further details.
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