If ∆ABD and ∆FEC, $$∠BAD=60°,l(BD)=l(EC),∠\text{ABD}=∠\text{FEC}=90°$$​, and $$l(AB)=l(FE)$$​. Find the ratio of $$\frac{∠\text{BAD}}{∠\text{FCE}}$$​.

Correct option is D

Given:
∠BAD = 60°
l(BD) = l(EC)
∠ABD = ∠FEC = 90°
l(AB) = l(FE)
Solution:
Since triangles ABD and FEC are similar by using Angle- Angle- Side Property, the corresponding angles are equal
From the given data, ∠BAD = 60° and ∠FCE = 30°.
Ratio = 60 : 30
= 2:1