Question

in a quadrilateral ABCD A:B:C:D= 3:4:6:7. Find the angles of quadrilateral. hence, prove that AB and DC are parallel. is BC also parallel to AD?

Answer 1

we know sum of alll angles of a quadrilateral is 360

therefore, 3x+4x+6x+7x=360    
                20x=360
           x=18
so angle 1=3*18=54
angle 2=72
angle 3=108
angle 4=126

Answer 2

Answer:

54 , 72 , 108 , 126;no

Step-by-step explanation:

let these angles be 3x, 4x,6x and 7x

Sum of interior angles in quadrilateral=360 degrees

:., 3x +4x+6x+7x = 360

20x=360

x=360/20

x=18

3x=3 x 18=54

4x=4 x 18=72

6x=6 x 18=108

7x=7 x 18=126

Note: These all are in degrees

AB is not parallel to DC...

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