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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. |
Answer» Sum of angles of a quadrilateral is 360° Let angle is x° Therefore each angle is x°, 2x°, 4x° and 5x° x° + 2x° + 4x° + 5x° = 360° 12x° = 360° x° = \(\frac{360°}{12}\) x° = 30° Therefore angles are: x = 30° 2x = 2 × 30° = 60° 4x = 4 × 30 = 120° 9x = 5 × 30 = 150° |
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