Question

if the sum of the of the interior of polygon equals the sum the measures of the exterior angles,how many sides does the polygon have?​

Answer 1

Answer:

• sum of interior angles of a polygon is defined by 180 × ( n-2). where n is no. of sides
• sum of exterior angles of a polygons .
• according to question interior angles sum is equal to sum of exterior angle .
• 180 x (n-2)=360 . (where n is no. of sides .)
• 180x - 360 = 360 .
• 180x = 720 .
• x = 720 /180 .
• x = 4 .
• hence no. of sides = 4.