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In the figure

AB = AD, BC = CD
prove that ∠ABC = ∠ADC​

In the figure AB = AD, BC = CD prove that ∠ABC = ∠ADC​-example-1

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Answer:

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In the figure AB = AD, BC = CD prove that ∠ABC = ∠ADC​-example-1
User Chao Luo
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5.6k points
3 votes

AB = AD [Given]

BC = CD [Given]

AC = AC [Same line segment]

So, ΔABC ≅ ΔADC [By SSS congruence criteria]

So, ∠ABC = ∠ADC [CPCT (Corresponding parts of congruent triangles)]

Hence, proved.

User BrochanGuMor
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