Question

the angle sum of all interior angles of a convex polygon of sides 7​

Answer 1

Answer:

if we know that a pentagon adds up to 540 degrees, we can figure out how many degrees any sided polygon adds up to. Hexagon has 6, so we take 540+180=720. A heptagon has 7 sides, so we take the hexagon's sum of interior angles and add 180 to it getting us, 720+180=900 degrees.

Answer 2

Given :   polygon of sides 7​

To Find:  sum of all interior angles of a convex polygon of sides 7​

Solution:

Sum of interior angles of a polygon with n sides is given by

(n - 2) * 180°

polygon of sides 7​

=> n = 7

Hence substitute n = 7  in (n - 2) * 180°

= (7 - 2) * 180°

= 5 * 180°

= 900°

sum of all interior angles of a convex polygon of sides 7​  = 900°

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