Question

the angle of quadrilateral are in the ratio of 2:4:5:7 find quadrilateral . also name the quadrilateral.​

Answer 1

Answer:

The quadrilateral is a scalene quadrilateral

Step-by-step explanation:

Let's take a common factor 'x'

So,

$2x + 4x + 5x + 7x = 360$ (SUM OF ALL ANGLES IS 360 DEGREES)

$6x + 5x + 7x = 360\\11x + 7x = 360\\18x = 360\\x =\frac{360}{18} \\x = 20$

Now,

Angle 1 = 2 x 20 = 40

Angle 2 = 4 x 20 = 80

Angle 3 = 5 x 20 = 100

Angle 4 = 7 x 20 = 140

The quadrilateral is a scalene quadrilateral as all angles are different.