Math, asked by sarahrocks826, 1 year ago

Geometry math question

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Answered by abhay1850
0
the right answer Is d 154.3
mark me brainliest

sarahrocks826: How did you've get 154.3
abhay1850: The sum of the interior angles of a 14-gon = (14-2)*180 = 2160 degrees.  divide it by 14 so you get something 154.3
abhay1850: mark me brainliest
sarahrocks826: I did
Answered by TooFree
0

The polygon has 14 sides.

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STEP 1: Find Sum of all interior angles:

The formula to find sum of all interior angles is (n - 2) x 180, where n is the number of sides.

So for this 14-gon,

Sum of interior angle = (14 - 2) x 180 = 2160°

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STEP 2: Find 1 interior angle:

There are 14 sides, therefore there are 14 angles.

To find 1 angle, we divide the total sum of all angles by 14:

1 angle = 2160 ÷ 14 = 154.3°

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Answer: one interior angle is 154.3°

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