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The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle is(a) 72° (b) 144° (c) 36° (d) 18° |
Answer» (c) 36o We know that, sum of all interior angle of quadrilaterals is equal to 360o. Let us assume the angles be x, 2x, 3x, and 4x Then, x + 2x + 3x + 4x = 360o 10x = 360o x = 360/10 x = 36 Therefore the angles are x = 36o 2x = 2 × 36 = 72o 3x = 3 × 36 = 108o 4x = 4 × 36 = 144o |
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