In two congruent triangles ABC and DEF, if AB = DE and BC = EF. Name the pairs of equal angles.
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Answered by
8
Answer:
angle C = angle F
Step-by-step explanation:
Answered by
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The pairs of equal angles are ∠ A ≅ ∠ D, ∠ B ≅ ∠ E, and ∠ C ≅ ∠ F.
Step-by-step explanation:
Two triangles Δ ABC and Δ DEF are congruent, where AB = DE.
So, opposite angles of the equal sides are equal i.e. ∠ C ≅ ∠ F
Similarly, we have BC = EF and hence, ∠ A ≅ ∠ D.
Again, CA must be equal to FD and hence, ∠ B ≅ ∠ E
Therefore, the pairs of equal angles are ∠ A ≅ ∠ D, ∠ B ≅ ∠ E, and ∠ C ≅ ∠ F. (Answer)
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