Math, asked by rangrejsumel, 9 months ago

two angles of a quadrilateral are in the ratio 2:4:6:8.find each angle of a quadrilateral​

Answers

Answered by nk6452
1

let 2:3:6:8 be 2x +4x+6x+8x.

angle sum property of a quadrilateral is 360

2x +4x+6x+8x =360

20 x =360

x =360/20

x =18.

2x = 2*18 = 36.

4x =4*18=72.

6x =6*18 =108.

8x = 8*18=114.

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Answered by Anonymous
2

Answer:

as we sum of all angles in a quadrilateral = 360°

let the first angle be 2x

let the second angle be 4x

             third angle = 6x

             fourth angle = 8x

2x + 4x + 6x + 8x = 360°

   6x     +    14x     = 360°

       20x              =    360°

               x            = 360°/20°

               x             = 18°

first angle = 2(18)

                 =  36°

second angle = 4(18)

                       = 72°

third angle    = 6(18)

                     =  108°

forth angle    =  8(18)

                      = 144°

hope it helps you.....................

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