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.

$\large\boxed{\frac{sum \: of \: interior \: angles}{n}}$

n means the number of sides.

Let's substitute the values according to the formula.

$x=\frac{540}{5}$

$\large\boxed{x= 108°}$

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