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| 1. |
ABC is a right angled triangle in which angle A =90°and AB=AC.find angle B and angle C |
| Answer» ∵ In ∆ABC,AB = AC∴ ∠B = ∠C ...(1)| Angles opposite to equal sides of a triangle are equalIn ∆ABC,∠A + ∠B + ∠C = 180°| Sum of all the angles of a triangle is 180°⇒ 90° + ∠B + ∠C = 180°| ∵ ∠A = 90° (given)⇒ ∠B + ∠C = 90° ...(2)From (1) and (2), we get∠B = ∠C = 45°. | |