Question

the angle of a quadrilateral are in the ratio 1 : 2 : 3 : 6 . Find all the angles​

Answer 1

Step-by-step explanation:

Given, the four angles of a quadrilateral are in the ratio 1:2:3:4

Let the angles be x,2x,3x & 4x.

∴ x+2x+3x+4x=360

⇒10x=360

∴ x=36

0

∴ angles are 36

0

,72

0

,108

0

& 144

0

.

Answer 2

Answer:

Step-by-step explanation:

a quadrilateral has 4 angles

Let the ratios of the angles be x, 2x, 3x and 6x

The sum of all angles of a quadrilateral = 360

therefore, x + 2x + 3x + 6x = 360

12x = 360

x = 360 / 12

x = 30

Angle x = 30 degree

angle 2x = 2 x 30

              = 60 degree

angle 3x = 3 x 30

               = 90 degree

angle 6x = 6 x 30

              = 180 degree