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Question

In ΔABC, AB = AC and B=50. Then A=?(a) 40 (b) 50 (c) 80 (d) 130

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Solution

ANSWER:
In △ABC, we have:
AB = AC
∠B = 50°
Since ABC is an isosceles triangle, we have:
∠C=∠B
∠C=50°
In triangle ABC, we have:
∠A+∠B+∠C=180°⇒∠A+50+50=180°⇒∠A=180°-100°∴∠A=80°
Hence, the correct answer is option (c).

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