Answer:
The only option 3 is correct
Step-by-step explanation:
See the given diagram.
1. ∠ D = ∠ B {Since AB ║ DE and DB is transverse line. So, they are alternate angles.}
So, ∠ D = 43° ≠ 28°
2. Now, ∠ A = ∠ CED {Again they are alternate angles}
⇒ ∠ A = ∠ CED = 180° - ∠ CEF = 180° - 152° = 28° ≠ 43°.
3. Again, ∠ ACD = 180° - ∠ ACB = ∠ A + ∠ B = 28° + 43° = 71°.
4. ∠ BCE = ∠ ACD {Vertically opposite angles}
⇒ ∠ BCE = 71° ≠ 109°
Therefore, the only option 3 is correct. (Answer)
