As shown in the figure, in rectangular ABCD, the diagonal lines AC and BD intersect at point O, AE bisects ∠ bad, BC intersects at point E. if ∠ CAE = 15 °, calculate the degree of ∠ BOE
∵ AE bisection ∠ bad
∵∠BAE=45°
The Abe is an isosceles right triangle
∴BE=BA
∵∠BAE = 45°,∠CAE=15°
∴∠BAO=60°
∵OA=OB
The ABO is an equilateral triangle
∴BA=OB=BE
∴∠BEO=∠BOE
∵∠EBO=∠CAD=30°
∴∠BOE=75°
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