Q. 163.7( 6 Votes )

# 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° =

x° =

x° =

Therefore angles are: x = 30°

2x = 2 × 30° = 60°

4x = 4 × 30 = 120°

9x = 5 × 30 = 150°

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