In the diagram above, the value of angles b + c is
∠BFC = 180° - a° (adjacent angles on a straight line)
∴ a° + b° + c° + ∠BFC = 360° (quadrilateral) a° + b° + c° + (180° - a°) = 360°
b° + c° = 360° - (180° - a°) - a°
b° + c° = 360° - 180° + a° - a°
b° + c° = 180°
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