Question

The angles of a quadrilateral are in the ratio 1:2:4:5, find the angles

Answer 1

Since the sum of all angles of quadrilateral is 360 degree
ATPx+2x+4x+5x=360 degree
or 12 x=360 degree
or x=30 degree
so the angles are 30degree(x=30 degree)
2x=2*30=60degree
4x=4*30=120 degree
5x=5*30=150 degree

Answer 2

Given,

The ratio of the angles of a quadrilateral = 1:2:4:5

To find,

The angles of the quadrilateral.

Solution,

We can simply solve this mathematical problem by using the following mathematical process :

Let us assume that, the four angles of the quadrilateral are x, 2x, 4x, and 5x, respectively.

As per the geometry of a quadrilateral,

" The sum of all the angles of any quadrilateral is equal to 360 degrees "

Now, on using this rule, we get;

x + 2x + 4x + 5x = 360

=> 12x = 360

=> x = 30

So, all the four angles of the quadrilateral can be calculated as follow;

x=30; 2x=60; 4x=120 and 5x=150

Hence, the angles of the quadrilateral are 30, 60, 120 and 150 degrees, respectively.