5. ∠BOC = 130°, ∠BAC = ?

The inscribed angle is half the measure of its intercepted arc. The central angle ∠BOC subtends arc BC.

Arc BC = ∠BOC = 130°

The inscribed angle ∠BAC subtends the same arc BC.

∠BAC = (1/2) * Arc BC = (1/2) * 130° = 65°