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grin007 [14]
3 years ago
7

If all angles are 108 degrees how many sides is there for a regular polygon

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
7 0
Sum of interior angles = 180(n-2)
Where n= the number of sides in the polygon

A polygon is called a regular polygon when all of its sides are the same length and all of its angles are the same measure.<span>A </span>regular polygon is both equilateral and equiangular. <span>To find the </span><span>sum of its interior angles,</span> substitute <span>n = 5</span> into the formula <span>180(n - 2) </span>and get <span>180(5 - 2) = 180(3) = 540°</span>

<span>Since the pentagon is a </span>regular<span> pentagon, the measure of each interior angle will be the same.
  To find the size of each angle, divide the sum, </span>540º, <span>by the </span>number<span> of </span>angles<span> in the pentagon.
(which is the same as the number of </span>sides).
<span><span>540°  5 = 108°</span>
</span>

There are 108° in each <span>interior angle of a regular pentagon.</span> N=8
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