Question

in the given figure triangle ABC.if AB=AC and BD=DC,then find the measure of angle ADC​

Answer 1

Answer:

Given that, in △ABC,

AB=AC, BD=DC

To find out: ∠ADC

In △ADB and △ADC,

AB=AC[given]

BD=DC[given]

Also, AD=AD[common]

∴ By SSS congruence criterion, ΔADB≅ΔADC.

Hence, ∠ADB=∠ADB

Also, ∠ADB+∠ADC=180

∘

[linear pair]

∴ ∠ADB=∠ADC=90

∘

Hence, ∠ADC=90

∘

Answer 2

Answer:

here is your Answer

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