Correct Answer: Option C

Explanation

∠DCB = ∠CBD = 35º (base angles of an isosceles triangle are equal)

∠ADB = 35º + 35º = 70° (ext. angle of a triangle equals two opp. interior angles)

∠ABD = 90º (angle in a semicircle is a right angle)

∠BAO + ∠ADB + ∠ADB = 180º (sum of angles in a triangle)

∠BAO + 90º + 70º = 180º 

∠BAO + 160º = 180º

∠BAO = 180º - 160º 

∠BAO = 20º

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