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Please answer the following:

1) Calculate the value of x
2) Calculate the size of each angle

Please include full working to achieve Brainliest.

Please answer the following1 Calculate the value of x2 Calculate the size of each anglePlease include full working to achieve Brainliest class=

Respuesta :

the sum of all interior angles in a polygon is
180(n - 2), where n = the number of sides in the polygon.

now, notice this figure above, it has 5 sides, namely is a PENTAgon, so the sum of all its interior angles is 180( 5 - 2), or 540, therefore

[tex]\bf (4x)~+~(3x+15)~~+~~(4x-25)~~+~~(3x+25)~~+~~(2x-3)=540 \\\\\\ 16x+12=540\implies 16x=528\implies x=\cfrac{528}{16}\implies x=33[/tex]