Question

In the figure, AB || CD and ∠F = 30^o the value of ∠ECD is

• A. 105^o
• B. 110^o
• C. 109^o
• D. 120^o

Answer 1

The correct option is D

120^o

By angle sum property, in ∆FEA,

∠FEA = 60^o

∠FEA = ∠BEC = 60^o ... (vertically opposite angles)

∠BEC + ∠ECD = 180^o ... (consecutive interior angles)

∠ECD = 120^o