The reason for this is the following：

Because ∠AED = 60, EF shares ∠AED equally.

∴ ∠ 1=30

Because < 2 = 30

So < 1 = < 2.

Then EF∨BD

If you are satisfied with my answer, please adopt it as a satisfactory answer. If you have any questions, you can keep asking until you understand!