Question

Four angels of quadrilateral are in the ratio 2:3:4:1: Find the angles​

Answer 1

Answer:

Answer is in the pic......

Answer 2

Answer:

Given :

All the angles of the quadrilateral is in ratio = 2:3:4:1

Sum of all angles of the quadrilateral = 360°

To find :

All the angles of the quadrilateral

Concept :

Let the angles of the quadrilateral be x

So , the equation will form like this after the finding the sum of all the angles of the quadrilateral -:

=> 2x+3x+4x+x=360°

After that multiply all the ratio with the value of x . Then we will get the all angles of the quadrilateral.

Solution :

==> 2x+3x+4x+x=360°

==> 5x+4x+x=360°

==> 9x+x=360°

==> 10x=360°

==> x=360°/10

==> x=36°

So , now all the angles :

>> 2×36°

>> 72°

>> 3×36°

>> 108°

>> 4×36°

>> 144°

>> 1×36°

>> 36°

Answer :

So , all the angles of the quadrilateral is 72°,108°,144° and 36° respectively.