The number of sides of a regular polygon is 12.The measure of each interior angel of a regular convex polygon is
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Answer :
- The measure of interior angle of a regular convex polygon is 150
Given that :
- The number of sides of a regular polygon is 12
To find :
- Measure of each interior angle of a regular convex polygon is
Solution :
Given,
- Number of sides of a regular polygon = 12
We know that
Sum of interior angles of a regular polygon formula,
- 180(n - 2)
Where, n is number of sides
➞ 180(n - 2)
➞ 180(12 - 2)
➞ 180(10)
➞ 1800
we know that polygon is regular, all of the angles have a same measure so, if we divide the sum of measure of the angles by the number of sides then we get measure of each interior angle here,
➞ 1800 by 12
➞ 150
Hence, The measure of interior angle of a regular convex polygon is 150
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