Math, asked by nageswarakhatei, 2 months ago

The number of sides of a regular polygon is 12.The measure of each interior angel of a regular convex polygon is​

Answers

Answered by Anonymous
4

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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