Angles in Polygons
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Questions and Answers

What characteristic defines a regular polygon?

  • Different internal angles
  • Unequal side lengths
  • Varied number of sides
  • Equal side lengths (correct)

How many sides does a hexagon have?

  • 6 (correct)
  • 10
  • 4
  • 8

What is the relationship between the number of sides and the interior angles of a regular polygon?

  • They are directly proportional (correct)
  • There is no relationship
  • They are equal
  • They are inversely proportional

How can the sum of interior angles in a regular polygon be calculated?

<p>Summing up (n-2) * 180 degrees, where n is the number of sides (C)</p> Signup and view all the answers

What is an exterior angle of a polygon?

<p>An angle formed outside the polygon (D)</p> Signup and view all the answers

How many exterior angles does a hexagon have?

<p>6 (A)</p> Signup and view all the answers

In a regular polygon, are all interior angles equal to each other?

<p>Yes, they are all equal (C)</p> Signup and view all the answers

What is the formula to find the sum of the interior angles of a polygon with n sides?

<p>$180(n-2)$ (D)</p> Signup and view all the answers

How can one find the value of each interior angle in a polygon with n sides?

<p>Dividing the sum of interior angles by n (B)</p> Signup and view all the answers

What is the formula to find the sum of exterior angles of a polygon?

<p>$360$ (D)</p> Signup and view all the answers

How can one calculate the value of individual exterior angles in a polygon?

<p>Dividing 360 by the number of sides (A)</p> Signup and view all the answers

In a polygon, what does the sum of exterior angles always equal to?

<p>$360$ (A)</p> Signup and view all the answers

How can one calculate individual external angles by using the value of internal angles in a polygon?

<p>Subtracting the value of internal angle from 180 (D)</p> Signup and view all the answers

In a regular polygon, each internal angle measures $x$ degrees. What does each external angle measure?

<p>$(180 - x)$ degrees (A)</p> Signup and view all the answers

For a 9-sided polygon (enneagon), if each internal angle measures $40$ degrees, what will be the measure of each external angle?

<p>$140$ degrees (A)</p> Signup and view all the answers

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