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MissTica
3 years ago
12

Given ABCD is a parallelogram ABE equals 180° CBE is congruent to CEB prove DAE is congruent to CEA

Mathematics
1 answer:
katrin2010 [14]3 years ago
6 0

Answer:

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

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