Find the angle measure x in the given figure.

Question:

Find the angle measure x in the given figure.

Solution:

For a regular n-sided polygon:

Each interior angle $=180-\left(\frac{360}{n}\right)$

In the given figure:

$n=5$

$x^{\circ}=180-\frac{360}{5}$

$=180-72$

$=108^{\circ}$

$\therefore \mathrm{x}=108$

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