Given abcd is a parallelogram abe equals 180° cbe is congruent to ceb prove dae is congruent to cea

The proved is given below.

Step-by-step explanation:

Given ABCD is a parallelogram and also ∠ABE equals 180°, ∠CBE ≅ ∠CEB

We have to prove that ∠DAE ≅ ∠CEA

As ∠CEA=∠CBE  →  (1)

and given  ABCD is a parallelogram implies AD||CB

∴ ∠DAE=∠CBE  → (2)  as these are corresponding angles.

From equation (1) and (2), we get

∠DAE=∠CEA

Hence,  ∠DAE is congruent to ∠CEA

Hence Proved