The sum of the interior angle measures of a 6-gon is 720 degrees
Solution:
The sum of measures of interior angles of regular polygon is given as:
[tex]Sum = ( n - 2) \times 180^{ \circ }[/tex]
Where,
"n" is the number of sides of polygon
Given is 6 - gon
Which means,
n = 6
Substitute n = 6 in above formula
[tex]Sum = (6 - 2) \times 180^{\circ }\\\\Sum = 4 \times 180\\\\Sum = 720^{ \circ}[/tex]
Thus the sum of the interior angle measures of a 6-gon is 720 degrees
