highschoolmom2010
  • highschoolmom2010
The gift package at the right contains fruit and cheese. The fruit is in a container that has the shape of a regular octagon. The fruit container fits in a square box. A triangular cheese wedge fills each corner of the box. 37. Find the measure of each interior angle of a cheese wedge.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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highschoolmom2010
  • highschoolmom2010
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ganeshie8
  • ganeshie8
u got a pic
dan815
  • dan815
cool

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More answers

ganeshie8
  • ganeshie8
ohk
dan815
  • dan815
do the obvious first u now its 90 degree angles on the corners
ganeshie8
  • ganeshie8
easy, you familiar with regular polygons eh ?
ganeshie8
  • ganeshie8
all exterior angles add up to 360. same thing we can use here
ganeshie8
  • ganeshie8
an octagon has 8 sides. so it has 8 extrior angles 8n = 360 n = ?
highschoolmom2010
  • highschoolmom2010
n=45
ganeshie8
  • ganeshie8
thats it ! one angle 90, other two angles are 45
ganeshie8
  • ganeshie8
1 Attachment
ganeshie8
  • ganeshie8
thats 45 degree exterior angle, also the interior angle of yellow cheese wedge
highschoolmom2010
  • highschoolmom2010
is the angles 90 and 45 or just 45 degrees?
ganeshie8
  • ganeshie8
thats right ! 90 45 45
dan815
  • dan815
|dw:1371134039776:dw|
ganeshie8
  • ganeshie8
a triangle has 3 interior angles btw, so u need to give them 3 angles
dan815
  • dan815
this is the property u can work everything with, u have to know for regular octagon there are 8 equal sides
highschoolmom2010
  • highschoolmom2010
@ganeshie8 ill remember that
ganeshie8
  • ganeshie8
you better :)
dan815
  • dan815
hey do u wanna see this way too
highschoolmom2010
  • highschoolmom2010
yes sure
dan815
  • dan815
u can work it out on yourself, what every angle will be from this starting point
ganeshie8
  • ganeshie8
dan ive already shown her in the previous quesitons
dan815
  • dan815
|dw:1371134157144:dw|
dan815
  • dan815
oh ok nvm
ganeshie8
  • ganeshie8
u can carry on ur explanation seems interesting :)
dan815
  • dan815
but basically this is the usual proof u can proof all these are equilateral triangles and then what the outter iscolces triangles will be
dan815
  • dan815
|dw:1371134241987:dw|
dan815
  • dan815
|dw:1371134258376:dw|
dan815
  • dan815
so u know each angle is 135/2 onthe sides now look at this corner if u fill in that triangular wedge
dan815
  • dan815
|dw:1371134324087:dw|
dan815
  • dan815
because of the 180 degree angle = a line

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