Mathematics
Grade9
Easy

Question

The sum of angles of the given figure is _____.

  1. 1080o
  2. 1980o
  3. 1260o
  4. 1800o

hintHint:

Sum of internal angles of a polygon =( n-2) x 180

The correct answer is: 1800o


    Let’s count the number of sides of the polygon in the given figure.
    We see that n=12
    Using the property of polygons,
    Sum of internal angles of a polygon =( n-2) x 180
    =(12-2) x 180 = 10 x 180 = 18000

    By the property of polygons, we know that the sum of external angles of a polygon =360
    Also,
    Sum of internal angles of a polygon =( n-2) x 180

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