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In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1 : 2 : 4 : 5. Find the measure of each angle of the quadrilateral. |
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Answer» We know that Sum of angles of a quadrilateral is = 360° Let each angle be x° So, x° + 2x° + 4x° + 5x° = 360° 12x° = 360° x° = 360°/12 = 30° Value of angles are x = 30° 2x = 2 × 30 = 60° 4x = 4 × 30 = 120° 5x = 5 × 30 = 150° ∴ Value of angles are 30°, 60°, 120°, 150° |
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