What is the measure of each angle of a regular 17-gon? If necessary, round to the nearest tenth.
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To find the measure of each interior angle of a regular 17-gon, you can use the formula: \((n-2) \times 180^\circ / n\), where \(n\) is the number of sides. So, for a 17-gon, it's \((17-2) \times 180^\circ / 17\), which simplifies to \(15 \times 180^\circ / 17\), resulting in approximately \(158.8^\circ\) for each angle when rounded to the nearest tenth. Imagine hosting a polygon party! Each of the 17 guests (the vertices) comes with a unique angle of about \(158.8^\circ\) to share. As they mingle and form their relationships, the regularity of their angles ensures that no one feels left out, just like in a perfectly symmetrical dance!
