asked 16.5k views
4 votes
In the figure

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

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

2 Answers

1 vote

Answer:

I hope it will help U.

In the figure AB = AD, BC = CD prove that ∠ABC = ∠ADC​-example-1
answered
User Chao Luo
by
9.3k 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.

answered
User BrochanGuMor
by
8.1k points
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