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What is the angle measure of each interior angle of a regular polygon
with 42 sides?
A) 171.430
B) 167.14°
© 9.00°
D) 8.57°
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Sagot :

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The value of each interior angle of the polygon is 171.43°, and the right option is A) 171.43°.

What is a polygon?

A polygon is a plane shape with two or more sides.

To calculate the angle of each interior angle of the polygon, we use the formula below.

Formula:

  • ∅ = (n-2)180/n............. Equation 1

Where:

  • ∅ = value of each interior angle of the polygon
  • n = Number of sides of the polygon

From the question,

Given:

  • n = 42 sides.

Substitute into equation 1

  • ∅ = (42-2)180/42
  • ∅ = 40×180/42
  • ∅ = 171.43°

Hence, the value of each interior angle of the polygon is 171.43°, and the right option is A) 171.43°.

Learn more about polygons here:

#SPJ2

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