# 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.

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° = x° = x° = Therefore angles are: x = 30°

2x = 2 × 30° = 60°

4x = 4 × 30 = 120°

9x = 5 × 30 = 150°

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