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