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15 Questions

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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)

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?

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

What is an exterior angle of a polygon?

An angle formed outside the polygon Signup and view all the answers

How many exterior angles does a hexagon have?

6 Signup and view all the answers

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

Yes, they are all equal Signup and view all the answers

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

$180(n-2)$ Signup and view all the answers

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

Dividing the sum of interior angles by n Signup and view all the answers

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

$360$ Signup and view all the answers

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

Dividing 360 by the number of sides Signup and view all the answers

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

$360$ Signup and view all the answers

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

Subtracting the value of internal angle from 180 Signup and view all the answers

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

$(180 - x)$ degrees 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?

$140$ degrees Signup and view all the answers