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In △ ABD ∠ A + ∠ B + ∠ D = 180 ° Angle Sum Property b + c + ∠ OBD + a + ∠ ODB = 180 ° ∠ OBD + ∠ ODB = 180 ° - a - b - c Now , In △ OBD ∠ OBD + ∠ ODB + ∠ BOD = 180 ° Angle Sum Property 180 ° - a - b - c + x = 180 ° x = 180 ° - 180 ° + a + b + c x = a + b+ c Hence Proved
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