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a regular polygon has 33 sides find the size of each interior angle


Sagot :

Answer:

169.09 degrees

Step-by-step explanation:

Interior Angle of a polygon with 33 sides = (n-2) x 180/n degrees = (33-2) x 180/33 degrees = 169.09 degrees

given:

33 sides

to find:

the size if each interior angle.

solution:

[tex] \frac{360}{33} [/tex]

[tex] = 10.91[/tex]

[tex]180 - 10.91[/tex]

[tex] = 169.09[/tex]

[tex] \frac{169.09}{33} [/tex]

[tex] = 5.12[/tex]

hence, the size of each interior angle is 5.12°