Verified answer

Step-by-step explanation:

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⦿ To find the angle BOE, we can use the property that the sum of angles around a point is 360°. Since we know that ∠BOD = 40° and ∠AOC + ∠BOE = 70°, we can set up the equation:

∠BOD + ∠AOC + ∠BOE + reflex ∠COE = 360°

Substituting the given values, we have:

40° + ∠AOC + ∠BOE + reflex ∠COE = 360°

Simplifying the equation, we get:

∠AOC + ∠BOE + reflex ∠COE = 320°

Now, we can substitute the value of ∠AOC + ∠BOE from the given information:

70° + reflex ∠COE = 320°

Subtracting 70° from both sides, we have:

reflex ∠COE = 250°

To find ∠BOE, we can subtract ∠AOC from the sum of angles around a point:

∠BOE = 360° - (∠AOC + ∠BOD)

Substituting the given values, we have:

∠BOE = 360° - (70° + 40°)

Simplifying the equation, we get:

∠BOE = 360° - 110°

∠BOE = 250°

Therefore, [tex]\red{\sf{\boxed{∠BOE = 250° \: \: and \: \: reflex ∠COE = 250°.}}}[/tex]