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Two adjacent of the parallogram are in the ratio of 1:5. Find all the angle of the parallogram |
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Answer» :Two adjacent angles are in ratio 1 : 5☆ To find :The VALUE of all the angles of the parallelogram.☆ Solution :Let's assume the adjacent angles of the parallelogram as 1x or x and 5x.Let,∠A = x∠B = 5xSo,➝ ∠A + ∠B = 180°⠀⠀[Co - INTERIOR ANGLE]➝ x + 5x = 180°➝ 6X = 180°➝ x = 180/6➝ x = 30°Therefore,∠A = x = 30° Also ∠A = ∠C = 30° (Opposite angles)And ,∠B = 5x = 5×30 = 150°Also ∠B = ∠D = 150° (Opposite angles)Therefore,All the angles of the parallelogram are : 30°,150°,30°,150° respectively. |
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