Question

The angles of a quadrilateral are in a ratio 2:4:5:7. Find the angles.​

Answer 1

Answer:

Step-by-step explanation:

Let the angles be 2x, 4x, 5x and 7x.

Angle sum of a quadrilateral= 360°

=>2x+4x+5x+7x = 360°

               18x = 360°

                   x = 20°

Angles are-

2x  = 2*20 = 40°

4x  = 4*20 = 80°

5x  = 5*20 = 100°

7x   = 7*20 = 140°

Answer 2

Given:-

→Angles of a quadrilateral are

in the ratio 2:4:5:7

To find:-

→Angles of the quadrilateral

Solution:-

Let the angles of the quadrilateral be 2x,4x,5x and 7x respectively.

We know that, sum of four angles of a quadrilateral is 360°.

So by using this concept,we get:-

=>2x+4x+5x+7x=360

=>18x=360

=>x=360/18

=>x=20

Here,by solving the above equation,we got the value of x=20.

Thus,the angles of the quadrilateral are:-

→2(20)=40°

→4(20)=80°

→5(20)=100°

→7(20)=140°

Verification:-

Now,let's check our answer by taking the four angles in the LHS and the sum of all angles i.e. 360° in the RHS.

( LHS ). ( RHS )

=>40+80+100+140 = 360

=>360=360

Hence,LHS=RHS verified.