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# Geometry/math

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Question
What is the measure in degrees of each interior angle in a regular 10 sided polygon?

Answer
I have seen characters misinterpreted  by other PC's,
but hopefully ° comes across as a degree symbol.

For an n-sided polygon with uniform angles and sides, the measure of each angle is 180(n-2)°.

Thus, the angles of a triangle add up too (3-2)180° = 180°, so they are 180°/3 = 60° each;
the angles of a square add up to (4-2)180° = 360°, so they are 360°/4 = 90° each; and
the angles of a pentagon add up to (5-2)180° = 540°, so they are 540°/5 = 108° each.

Since this is the known angles in a triangle, square, and pentagon,
it can be seen it can be extended to a 10 sided polygon.

The sum of the measure of all of the angles would be (10-2)180° = 8*180° = 1,440°.
Since there are 10 equal angles, each of them has measure 1,440°/10 = 144°.

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