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anonymous

  • one year ago

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.

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  1. anonymous
    • one year ago
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  2. jim_thompson5910
    • one year ago
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    |dw:1443218279430:dw|

  3. jim_thompson5910
    • one year ago
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    step 1) find the value of y hint: 105+y = 180 step 2) use y to find x hint: x+y+24 = 180

  4. anonymous
    • one year ago
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    uhh there's no y inside the star only an x!

  5. jim_thompson5910
    • one year ago
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    105 and y are supplementary because they form a straight angle. Which is why 105+y = 180

  6. jim_thompson5910
    • one year ago
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    I added y in

  7. jim_thompson5910
    • one year ago
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    x+y+24 = 180 because all 3 angles of any triangle always add to 180 degrees

  8. anonymous
    • one year ago
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    oh okay, so y= 75 right?

  9. jim_thompson5910
    • one year ago
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    yep

  10. anonymous
    • one year ago
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    so now its x+75+24=180 so x would equal 81?

  11. jim_thompson5910
    • one year ago
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    good

  12. jim_thompson5910
    • one year ago
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    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

  13. anonymous
    • one year ago
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    So is that it? if it is, thank you so much that was a lot easier than I thought XD

  14. jim_thompson5910
    • one year ago
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    yeah 81 is your answer. There are 2 ways to get there

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