Question

Does anyone know how to do this I’m really confused

Answer 1

Given:

• Pentagon

To find:

The size of the unknown angle "x"

Solution:

The given polygon is a Pentagon so the sum of interior angle will be,

`\large\boxed{Formula: ( n − 2 ) × 180}`

n means the number of sides

Let's substitute the values according to the formula.

`(5-2)×180`

`=540°`

Now, we can find the sum of one interior angle.

`\large\boxed{(sum \: of \: interior \: angles)/(n)}`

n means the number of sides.

Let's substitute the values according to the formula.

`x=(540)/(5)`

`\large\boxed{x= 108°}`

Therefore, the size of the unknown angle "x" is 108°