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I would appreciate it if someone could help answer this problem:)

I would appreciate it if someone could help answer this problem:)-example-1
User Kien Chu
by
4.0k points

2 Answers

4 votes

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!

User Priit
by
4.1k points
6 votes

Answer:

its easy

sum of interior angle is 180degrees sum of exterior angle is 360degrees

User Ben Glasser
by
4.2k points