Question

Find the value of x





x=?

Answer 1

x=
`135^o`

Explanation:

The sum of the interior angles can be found with (n-2)
`180^o`

Where n is the number of sides

(6-2)
`180^0`

This shape has a total interior angle measurement of
`720^0`

Since there are two given right angles we can subtract those

`720^o-180^0=540^o`

We have four spots for x so:

x=
`(540^o)/(4)`

x=
`135^o`

Answer 2

x = 135 degrees

Explanation:

For any simple n-gon, the sum of the interior angles is 180(n − 2) degrees. (n is the number of vertices)

180(6-2)=180(4)=720

the shape already has 2 90-degree angles, subtract both of those from total interior angle sum

720-90-90=540

the 4 angles left must make up 540 degrees

540/4=135

x=135 degrees