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4 years ago

Find the measure of an interior angle of a regular polygon with 15 sides. Round to the nearest tenth if necessary.

Mathematics

1 answer:

Naya [18.7K]4 years ago

6 0

Step-by-step explanation:

Finding a regular polygon with x amount of sides, you use the equation $(x-2)$ to find the amount of triangles. Replace x with 15 and you will get 13. Each triangle has angles that add to $180^{o}$ , so you would do 180 * 13 to find the total of all of the interior angles, = 2340. Then, divide 2340 by 15, and you will get 156!

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gladu [14]

The correct answer is: [C]: " (5, 1) ".

__________________

Explanation:

__________________

Choice: [C]: " x = 5 " ; " y = 1 " ;

Note: Given the equation: " 2x - y = 9 " .

→ Plug in " 5 " for "x" , and " 1 for " y " ;

to get: " [2 * 5] - [1] = 10 - 1 = " 9 " ; and: " 9 = 9 " .

So, Choice: [C]: " (5, 1) " — is the CORRECT ANSWER.

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Let us consider the "other answer choices" ; as follows:

__________________

Choice: [A]: "x = - 4 " , "y = 1" ; Plug in these values for the given equation:

→ " 2x - y = 9 " ;

→ " (2 * -4) - (5) = - 8 - 5 = " - 13 " ; and: " - 13 ≠ 9 " .

→ So: Answer choice: [A]: is INCORRECT.

__________________

Choice [B]: "x = -2" , "y = 5" ; Plug in these values for the given equation:

"2x - y = 9 " ;

→ " (2 * -2) - (5) = -4 - 5 = -9 ; and: " -9 ≠ 9 " .

→ So: Answer choice: [B]: is INCORRECT.

__________________

Choice: [D]: "x = 6 " , "y = - 3" ; Plug in these values for the given equation:

"2x - y = 9 " ;

→ " (2 * 6) - ( -3) = 12 - (-3) = 12 + 3 = " 15 " ; and: " 15 ≠ 9 " .

→ So: Answer choice: [D]: is INCORRECT.

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→ The correct answer is: [C]: " (5, 1) " .

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*Find the measure of an interior angle of a regular polygon with 15 sides. Round to the nearest tenth if necessary.*

Find the measure of an interior angle of a regular polygon with 15 sides. Round to the nearest tenth if necessary.