Therefore, ∠ OBE = ∠ BOA+∠ A = 2 ∠ A

Because, ∠ EOD+∠ BOE+∠ Boya = 180 = ∠ BOE+∠ OBE +∠ OEB.

That is ∠ EOD+∠ A = 4 ∠ A

Therefore ∠ EOD = 3 ∠ A.

So ∠ A = 78/3 = 26.