Question

What is x?

Answer 1

`x=109^@`

Explanation:

A pentagon can be divided into 3 triangles.
Each of the triangles has `180^@`.
So three of them will have `3*180=540^@`

`=> x+121+108+102+100=540`
`=> x+431 =540`
`=> x=109^@`

Alternatively, you can find the sum of the interior angles of a polygon using the following formula :
sum of interior angles of a poygon `=(n-2)*180`, where `n =` number of sides.
Since a pentagon has 5 sides `=> n=5`
sum of interior angles `= (5-2)*180=540^@`