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Three angles of a quadrilateral are in the ratio 3:2:1. The sum of the smallest and the greatest angle is 180°. Find all the angles of a quadrilateral |
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Answer» a/c to QUESTION, Three angle of a QUADRILATERAL are in the RATIO 3 : 2 : 1. so, first angle = 3x 2ND angle = 2x and 3rd angle = x let another angle is A. we KNOW, sum of all angle of the quadrilateral = 360° so, 3x + 2x + x + A = 360° ⇒6x + A = 360° .......(1) again, smallest angle + largest angle = 180° or, x + 3x = 180° or, x = 180°/4 = 45° so, A = 360° - 6 × 45° = 90° hence, all angles are ; 3x = 3 × 45° = 135° 2x = 2 × 45° = 90° x = 1 × 45° = 45° and A = 90° |
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