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If AB = AD, BC = CD in the diagram, then prove that ∠ABC = ∠ADC

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If AB = AD, BC = CD in the diagram, then prove that ∠ABC = ∠ADC

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The three sides of triangles ∆ ABC are equal. The angles opposite to the sides are also equal.

AB = AD, BC = DC, AC = AC

AC is the common side. So the angles opposite to this side ∠ADC and ∠ABC are also equal,

i e ∠ABC = ∠ADC

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