anonymous
  • anonymous
Will medal and fan!! A star patterned quilt has a star with the angles shown. What is the value of x? The diagram is not to scale.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
1 Attachment
jim_thompson5910
  • jim_thompson5910
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jim_thompson5910
  • jim_thompson5910
step 1) find the value of y hint: 105+y = 180 step 2) use y to find x hint: x+y+24 = 180

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anonymous
  • anonymous
uhh there's no y inside the star only an x!
jim_thompson5910
  • jim_thompson5910
105 and y are supplementary because they form a straight angle. Which is why 105+y = 180
jim_thompson5910
  • jim_thompson5910
I added y in
jim_thompson5910
  • jim_thompson5910
x+y+24 = 180 because all 3 angles of any triangle always add to 180 degrees
anonymous
  • anonymous
oh okay, so y= 75 right?
jim_thompson5910
  • jim_thompson5910
yep
anonymous
  • anonymous
so now its x+75+24=180 so x would equal 81?
jim_thompson5910
  • jim_thompson5910
good
jim_thompson5910
  • jim_thompson5910
an alternative is to use the exterior angle theorem http://www.mathopenref.com/triangleextangletheorem.html 24 and x are interior angles. They add to 105 which is the exterior angle that isn't touching the interior angles 24+x = 105 solve that for x and you get x = 81
anonymous
  • anonymous
So is that it? if it is, thank you so much that was a lot easier than I thought XD
jim_thompson5910
  • jim_thompson5910
yeah 81 is your answer. There are 2 ways to get there

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