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shtirl [24]
3 years ago
13

An exterior angle of a regular polygon measures 45 degrees. What is the measure of an interior angle?

Mathematics
1 answer:
ikadub [295]3 years ago
7 0

The exterior angle of a polygon and its corresponding interior angle always add up to 180°.

Let the interior angle of the polygon be y^{\circ}

45^{\circ}+y=180^{\circ}

So, y=180^{\circ}-45^{\circ}

y=135^{\circ}

So, the interior angle of the polygon is 135^{\circ}

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