In the given figure,BA=FC andDB =EF andLDBC = LAFE,then prove that:!!,.AFE = !!,.CBD

Question

In the given figure,BA=FC andDB =EF andLDBC = LAFE,then prove that:!!,.AFE = !!,.CBD
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Solution 1

Given: BA = FC, DB = EF, and ∠LDBC = ∠LAFE

To prove: ∠AFE = ∠CBD

Proof:

  1. Given that BA = FC and DB = EF, we can conclude that triangle BAC is congruent to triangle FCE by the Side-Angle-Side (SAS) congruence criterion.

  2. Therefore, ∠BAC = ∠FCE (corresponding angles of congruent triangles).

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