In the figure AB = AC and ∠ACD = 110° find A.
∠ACB + ∠ACD = 180° ...... (Linear pair)
... + 110° = 180°
⇒ ∠ACB = 180° - 110° = 70°
Since in ΔABC, AB = AC
ഋ = ∠C = 70°
Now, in ΔABC, we have
∠A + ∠B + ∠C = 180° ...... (Sum angles)
... ഊ + 70° + 70° = 180°
...ഊ = 180° - 140° = 40°
... + 110° = 180°
⇒ ∠ACB = 180° - 110° = 70°
Since in ΔABC, AB = AC
ഋ = ∠C = 70°
Now, in ΔABC, we have
∠A + ∠B + ∠C = 180° ...... (Sum angles)
... ഊ + 70° + 70° = 180°
...ഊ = 180° - 140° = 40°
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