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The angles of a quadrilateral are in the ratio 3 : 5 : 7 : 9. Find the measure of each of these angles. |
Answer» Let x be the common multiple. As per question, \(\angle\)A = 3x \(\angle\)B = 5x \(\angle\)C = 7x \(\angle\)D = 9x As we know that, Sum of all four angles of quadrilateral is 360o . \(\angle\)A + \(\angle\)B + \(\angle\)C + \(\angle\)D = 360° 3x + 5x + 7x + 9x = 360° 24x = 360° X = 360/24 = 15° \(\angle\)A = 3 × 15° = 45° \(\angle\)B = 5 × 15° = 75° \(\angle\)C = 7 × 15° = 105° \(\angle\)D = 9 × 15° = 135° So, Angles of quadrilateral are 45°, 75°, 105° and 135°. |
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