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EXPLANATION.
In the given figure.
⇒ AB = AC and BD = DC.
As we know that,
In triangle ABC.
⇒ AD = AD [Common].
⇒ AB = AC [Given].
⇒ BD = DC [Given].
By using SSS criteria.
⇒ SSS = Side- Side- Side Criteria.
⇒ ΔABD ≅ ΔACD.
As we know that,
⇒ ∠ADB = ADC. [Congruent Sides].
⇒ ∠ADB + ∠ADC = 180°.
⇒ ∠ADB + ∠ADB = 180°.
⇒ 2∠ADB = 180°.
⇒ ∠ADB = 90°.
⇒ ∠ADB + ∠ADC = 180°.
⇒ ∠ADC + ∠ADC = 180°.
⇒ 2∠ADC = 180°.
⇒ ∠ADC = 90°.
As we can see that,
⇒ ∠ADB = ∠ADC = 90°.
Hence Proved.
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