Answer:
Sum of Interior Angles = 3960°
Sum of Exterior Angles = 360°
One Interior Angle = 165°
One Exterior Angle = 15°
Explanation:
→ To find the sum of interior angles of any sided polygon, we use the formula;
(n - 2) * 180, where n = number of sides in a polygon.
=> (n - 2) * 180
=> (24 - 2) * 180
=> 22 * 180
=> 3960 (this is the sum of the interior angles in a 24 - gon)
→ Sum of the exterior angles of any polygon is 360°.
Therefore the sum of exterior angles of a 24-gon = 360°
→ One interior angle can be found out by =
Sum of interior angles / number of sides in a polygon.
=> One interior angle of a 24-gon = 3960/24
=> One interior angle of a 24-gon = 165°
→ One exterior angle can be found by =
360 / (n) or number of sides in a polygon.
=> One exterior angle of a 24-gon = 360/24
=> One exterior angle of a 24-gon = 15°
Hope this helps!