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OverLord2011 [107]
3 years ago
15

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

Mathematics
2 answers:
julia-pushkina [17]3 years ago
7 0

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>

max2010maxim [7]3 years ago
6 0

Answer:

its easy

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

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