Question

Please help asapppp!!!!

Answer 1

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)