Question

the angles of a quadrilateral ABCD taken in an order are in the ratio 3:6:4 (a) kite (b) parallelogram (c) rhombus (d) trapezium

Answer 1

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given Angles of ABCD quadrilateral are in ratio 3:7:6:4 

Sum of angles in a quadrilateral is 360 

let

angle A = 3x ,
 angle B = 7x 
 angle C = 6x 
 angle D = 4x

sum of angles = 360 

3x+7x+4x+6x =360

20x = 360 

x = 18 degree ;

then

A = 54 degree  ,

B = 126 degree ,

C = 108 degree ,

D = 72 degrees 

it is not rhombus, parallelogram , kite as atleast one pair of angles to be equal for these quadrilateral.

therefore the quadrilateral can be a trapezium.