Known: as shown in the figure, in rectangular ABCD, the diagonal intersects at point O, ∠ AOB = 60 °, AE bisects ∠ bad, AE intersects BC at E. calculate the degree of ∠ BOE

In rectangular ABCD, OA = ob, ∵ ∠ AOB = 60 degree, ∵ AOB is equilateral triangle, ∵ AB = ob, ∵ ABO = 60 degree, ∵ AE is bisector of ∵ bad, ∵ Abe is isosceles right triangle, ∵ AB = be, ∵ ob = be, and ∵ OBC = 90-60 degree = 30 degree, ∵ BOE = 12 (180-30 degree)) = 75 degree

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