Bob and Sally decorated their living room walls with paper polygons - all were regular 6-sided polygons.

Degrees in a 3 to 8 sided figure:
Sum of angle measure = 180(n - 2),
where n = number of sides

A. What is the total number of degrees in the interior angles of a regular 6-sided polygon? Show or explain all your work.

B. What is the measure of 1 interior angle of this same polygon? Show or explain all your work.

C. Sally also made a 7-sided polygon with 1 interior right angle. Explain why this shape is not a regular polygon.

Question

Bob and Sally decorated their living room walls with paper polygons - all were regular 6-sided polygons.

Degrees in a 3 to 8 sided figure:
Sum of angle measure = 180(n - 2),
where n = number of sides
 

A. What is the total number of degrees in the interior angles of a regular 6-sided polygon?  Show or explain all your work.

B. What is the measure of 1 interior angle of this same polygon?  Show or explain all your work.

C. Sally also made a 7-sided polygon with 1 interior right angle.  Explain why this shape is not a regular polygon.

anonymous · Answer

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anonymous · Answer

saifoo.khan

opcode · Answer

A. What is the total number of degrees in the interior angles of a regular 6-sided polygon?  Show or explain all your work.

Just input the numbers, since n = number of sides.
A regular 6-side polygon so input 6 as n.
$180(6 - 2)$
Do BODMAS.
$180(6 - 2)$
$180(4) = 720 $
So the total of the interior angles are 720.

Now for B.
It's quite simple. We already know that there are six sides. So $720/6 = 120$ .
So each interior angle is 120.

C. Sally also made a 7-sided polygon with 1 interior right angle.  Explain why this shape is not a regular polygon.
As for C, "Polygons are 2-dimensional shapes. They are made of straight lines, and the shape is "closed" (all the lines connect up)."
A polygon is regular if all its side ARE equal.
A polygon is irregular if otherwise.

opcode · Answer

@imbadatmatht 
Do you understand?

anonymous · Answer

kinda

opcode · Answer

Well what don't you understand?
A/B/C?

anonymous · Answer

I was curious about why you did 6-2 but i guess that is part of the equation right?

opcode · Answer

Degrees in a 3 to 8 sided figure:
Sum of angle measure = 180(n - 2),
$ \text{"Where n = number of sides."}$
It explains itself in the question. :-)

anonymous · Answer

k. thanks

opcode · Answer

No problem :-).