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°