Find the measure of angle E.

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help please i still mix the formulas

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3 Answers

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Hint:

The inner angles of an $n$-gon add up to $(n-2)\pi$

From there, can you find $x$?

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For an $n$-sided polygon, the sum of the interior angles is $180(n - 2)$. So I suggest that you try adding up all of those angle measures, setting it equal to $180(n - 2)$, and then solve for $x$. Afterwards, you'll just need to plug that value of $x$ into the angle measure of $E$.

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Try splitting the nonagon (the 9-sided polygon in the diagram) into triangles. If a triangle has $180^\circ$, a rectangle $360^\circ$, and a pentagon $540^\circ$, how many degrees would a nonagon have? are the angles measured in degrees or radians?

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