MHB Sum of the measures of the interior angles of a heptagon

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The sum of the interior angles of a heptagon is 1260°, calculated using the formula (n-2)180°, where n is the number of sides. For a polygon with a sum of interior angle measures of 3600°, it has 22 sides, derived from rearranging the same formula. Each exterior angle of a regular octagon measures 45°, as the sum of exterior angles for any polygon is always 360°. The discussion emphasizes the importance of understanding these formulas for solving polygon angle problems. Accurate calculations are essential for determining angle measures in various polygon types.
yormmanz
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PLEASE HELP1.What is the sum of the measures of the interior angles of a heptagon?

A. 1260∘
B. 2520∘
C. 900∘
D. 1800∘

my answer is C

5.If the sum of the interior angle measures of a polygon is 3600∘, how many sides does the polygon have?
A. 22 sides
B. 20 sides
C. 18 sides
D. 10 sides

MY ANSWER ?

3.What is the angle measure of each exterior angle of a regular octagon?
A. 45∘
B. 135∘
C. 360∘
D. 1080∘

MY ANSWER ?
 
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couple of pieces of information to assist you ...

the sum of the interior angles of a convex n-gon is $(n-2)180^\circ$

the sum of the exterior angles of a convex n-gon is $360^\circ$
 
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Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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