QuestionCalculate the interior angle sum of an 11-sided polygon using $(n-2) \times 180$ . Round to the nearest tenth.

Studdy Solution

STEP 1

Assumptions1. The polygon has11 sides. The formula for the interior angle sum of a polygon is $(n-) \times180$ degrees, where $n$ is the number of sides the polygon has

STEP 2

We need to find the interior angle sum for a polygon with11 sides. We can do this by substituting $n =11$ into the formula.
$Interior\, angle\, sum = (n-2) \times180\, degrees$

STEP 3

Substitute $n =11$ into the formula.
$Interior\, angle\, sum = (11-2) \times180\, degrees$

STEP 4

Calculate the value inside the parentheses.
$Interior\, angle\, sum =9 \times180\, degrees$

STEP 5

Calculate the interior angle sum.
$Interior\, angle\, sum =9 \times180 =1620\, degrees$ The interior angle sum for a polygon with11 sides is1620 degrees.

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QuestionCalculate the interior angle sum of an 11-sided polygon using $(n-2) \times 180$ . Round to the nearest tenth.

Studdy Solution

STEP 1

Assumptions1. The polygon has11 sides. The formula for the interior angle sum of a polygon is $(n-) \times180$ degrees, where $n$ is the number of sides the polygon has

STEP 2

We need to find the interior angle sum for a polygon with11 sides. We can do this by substituting $n =11$ into the formula.
$Interior\, angle\, sum = (n-2) \times180\, degrees$

STEP 3

Substitute $n =11$ into the formula.
$Interior\, angle\, sum = (11-2) \times180\, degrees$

STEP 4

Calculate the value inside the parentheses.
$Interior\, angle\, sum =9 \times180\, degrees$

STEP 5

Calculate the interior angle sum.
$Interior\, angle\, sum =9 \times180 =1620\, degrees$ The interior angle sum for a polygon with11 sides is1620 degrees.

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QuestionCalculate the interior angle sum of an 11-sided polygon using (n−2)×180(n-2) \times 180(n−2)×180. Round to the nearest tenth.

Studdy Solution

STEP 1

Assumptions1. The polygon has11 sides. The formula for the interior angle sum of a polygon is (n−)×180(n-) \times180(n−)×180 degrees, where nnn is the number of sides the polygon has

STEP 2

We need to find the interior angle sum for a polygon with11 sides. We can do this by substituting n=11n =11n=11 into the formula.Interior angle sum=(n−2)×180 degreesInterior\, angle\, sum = (n-2) \times180\, degreesInterioranglesum=(n−2)×180degrees

STEP 3

Substitute n=11n =11n=11 into the formula.Interior angle sum=(11−2)×180 degreesInterior\, angle\, sum = (11-2) \times180\, degreesInterioranglesum=(11−2)×180degrees

STEP 4

Calculate the value inside the parentheses.Interior angle sum=9×180 degreesInterior\, angle\, sum =9 \times180\, degreesInterioranglesum=9×180degrees

STEP 5

Calculate the interior angle sum.Interior angle sum=9×180=1620 degreesInterior\, angle\, sum =9 \times180 =1620\, degreesInterioranglesum=9×180=1620degreesThe interior angle sum for a polygon with11 sides is1620 degrees.

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QuestionCalculate the interior angle sum of an 11-sided polygon using $(n-2) \times 180$ . Round to the nearest tenth.

Assumptions1. The polygon has11 sides. The formula for the interior angle sum of a polygon is $(n-) \times180$ degrees, where $n$ is the number of sides the polygon has

We need to find the interior angle sum for a polygon with11 sides. We can do this by substituting $n =11$ into the formula.
$Interior\, angle\, sum = (n-2) \times180\, degrees$

Substitute $n =11$ into the formula.
$Interior\, angle\, sum = (11-2) \times180\, degrees$

Calculate the value inside the parentheses.
$Interior\, angle\, sum =9 \times180\, degrees$

Calculate the interior angle sum.
$Interior\, angle\, sum =9 \times180 =1620\, degrees$ The interior angle sum for a polygon with11 sides is1620 degrees.