Question

If angle a, B, C, D or the quadrilateral ABCD taken in order are in the ratio 3: 7 :6 :4 then name the type of quadrilateral ABCD.

Answer 1

Answer:

Step-by-step explanation:

et the angles be 3x,7x,6x,4x

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

x= 360/20= 18

so angles are

54°, 126°, 108° & 72°

hence it is a trapezium

Answer 2

Answer:

Step-by-step explanation:

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.