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A math exercise in the second day of junior high school
∠BOB''=2α

Connect OC, OC', OB'

According to the symmetry ∠ BOC = ∠ b 'oc' ∠ com = ∠ c 'om ∠ b'' OE = ∠ b 'oe.

∠BOB ' ' =∠BOC+∠COM+∠C ' om+∠B ' oc '+∠B ' ' OE+∠B ' OE

= 2(≈C ' om+≈B ' oc '+≈B ' OE)

=2∠MOE

=2α