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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