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In ΔABC, AB = AC, ∠C = x and the angle A = (5x - 30)°: find the angle B (in degrees).1. 30° 2. 60° 3. 80° 4. 120° |
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Answer» Correct Answer - Option 1 : 30° Given: In ΔABC, AB = AC ∠A = (5x – 30)° ∠C = x Concept used: If two sides of a triangle are equal their opposite angles will also be equal. The sum of all angles of a triangle is 180∘ . Calculation: AB = AC ⇒ ∠C = ∠B = x According to question, 5x – 30° + x + x = 180° ⇒ 7x – 30° = 180° ⇒ 7x = 210° ⇒ x = 30° ∴ The value of ∠B is 30° |
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