Published on September 19, 2014
NAME OF THE TEACHER : ANEES A J STANDARD:9 UNIT :POLYGONS TOPIC : INTERIOR ANGLES OF POLYGON OBJECTIVE : TO UNDERSTAND THAT THE SUM OF INTERIOR ANGLES A POLYGON HAVING ‘N’ SIDES =(N-2)*180
INTERIOR ANGLES OF A POLYGON
STEPS TO FIND OUT THE INTERIOR ANGLES OF POLYGONS Polygons can be divided into triangles by joining alternative vertices. The number of triangle = Two less than the number of sides of the original polygon. Since the sum of the angles of a triangle is 180, we can find the sum of angles of polygon by multiplying the number of triangles with 180
SUM OF INTERIOR ANGLES TRIANGLE QUADRILATERAL= PENTAGON= 2 TRIANGLES 3 TRIANGLES HEXAGON= 4 TRIANGLES HEPTAGON= 5 TRIANGLES
SHAPE NUMBER OF SIDES NUMBER OF TRIANGLES SUM OF THE ANGLES (DEGREE) TRIANGLE 3 1=(3-2) 1*180=180 QUADRILATERAL 4 2=(4-2) 2*180=360 PENTAGON 5 3=(5-2) 3*180=540 HEXAGON 6 4=(6-2) 4*180=720
From the above table we can conclude that the sum of the angles of a polygon having ‘n’ sides is (n-2)180. As the number of sides increases the sum of angles increases by 180 degree.
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