Question

The angles of quadrilateral are in ratio 3:4:5:6. Find the angles and name the quadrilateral

Answer 1

HEY!!

here's your answer

As sum of four angles of a quadrilateral is 360°

So let the ratio be 3x:4x:5x:6x

3x+4x+5x+6x =360

18x=360

x=360

18

x=20

3x°=3*20

=60°

4x° =4*20

=80°

5x°=5*20

=100°

6x°=6*20

=120°

hope it helps

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Answer 2

Answer:

Let the first angle = 3x°

            2nd angle = 4x°

            3rd angle = 5x°

             4th angle = 6x°

Sum of all angles of quardrilater = 360°

3x° + 4x° + 5x° + 6x° = 360°

                         18x° = 360°

                         x° = 360°/18

                         x° = 20°

∴ First angle = 3 x 20 = 60°

  2nd angle  = 4 x 20 = 80°

  3rd angle   = 5 x 20 = 100°

  4th angle   = 6 x 20 = 120°

Hope it helps you