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

Does Anyone Know How To Do This Im Really Confused class=

Sagot :

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,

[tex]\large\boxed{Formula: ( n − 2 ) × 180}[/tex]

n means the number of sides

Let's substitute the values according to the formula.

[tex](5-2)×180[/tex]

[tex]=540°[/tex]

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

[tex]\large\boxed{\frac{sum \: of \: interior \: angles}{n}}[/tex]

n means the number of sides.

Let's substitute the values according to the formula.

[tex]x=\frac{540}{5}[/tex]

[tex]\large\boxed{x= 108°}[/tex]

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