In figure, AB = AC, CD = CA and ∠ADC = 20°, find ∠ABC. – InterviewSolution

1.

In figure, AB = AC, CD = CA and ∠ADC = 20°, find ∠ABC.

Answer»

CD = CA

⇒ ∠CAD = ∠ADC = 20°

⇒ ∠ACD = 180° – (20° + 20°) = 140°

∠ACB = 180° – 140° = 40°

But AB also equal to AC

⇒ ∠ABC = ∠ACB = 40°

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