Answer:
4140°
Step-by-step explanation:
To find sum of interior angles of a polygon with [tex]n[/tex] sides we apply the following formula:
[tex]S=(n-2) 180[/tex]
where [tex]S[/tex] represents the sum of interior angles of the polygon and [tex]n[/tex] represents number of sides of the polygon.
Thus, for a 25-sided polygon the sum of interior angles can be calculated by plugging in [tex]n=25[/tex] in the formula.
[tex]S=(25-2) 180[/tex]
[tex]S=(23) 180[/tex]
∴ [tex]S=4140\°[/tex] (Answer)
Answer:
4140°
Step-by-step explanation:
The exterior angles of a polygon add up to 360°. So the exterior angle of this polygon is 360 ÷ 25 = 14.4°
The interior angle of the polygon is 180 - 14.4 = 165.6°
The sum of the interior angles is 165.6 × 25 = 4140°
