Question

If angles A B C AND D of the quadrilateral abcd taken. In order are in the ratio of 3:7:6:4 then name the type of quadrilateral ABCD

Answer 1

Hey mate :-)

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  

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.