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The answer is 108'. There is a nice way of answering this for any regular polygon (like a square, a pentagon, a hexagon etc): first split your regular polygon into triangles by joining one vertex (point where 2 lines meet) to all other vertices. You will be left with several triangles, (eg in a pentagon 3 triangles). The interior angles of a triangle add to 180', so we can see that the interior angles of our pentagon add to 3 x 180 = 540'. And there are 5 vertices so 540/5=108', which is out answer.

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Q: What is the size of each interior angle of a regular pentagon?
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Related questions

What is the measure of each interior angle of a pentagon?

If it is a regular 5 sided pentagon then each interior angle is 108 degrees


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thirty sixImproved Answer:-Providing that it's a regular pentagon then each interior angle will measure 108 degrees


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Each vertex angle of a polygon is composed of an external angle and an interior angle. These two angles are supplementary (total 180°). As the number of sides of a regular polygon increases then the external angle decreases and conversely, the interior angle increases. The interior angle of a regular pentagon (108°) is larger than the interior angle of a square (90°).


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What is the measure of each interior angle of a regular pentagon?

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