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calculusxy

  • one year ago

geometry question. the figure will be drawn below ...

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  1. calculusxy
    • one year ago
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    |dw:1443914739956:dw| In the figure above, if z = 30, what is the value of x + y ?

  2. calculusxy
    • one year ago
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    I thought that it was 150

  3. Jhannybean
    • one year ago
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    |dw:1443914836421:dw|

  4. Jhannybean
    • one year ago
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    So \(\angle z\) is an alternate interior angle to both \(\angle x\) and \(\angle y\) therefore \(\angle z = \angle x =\angle y = 30\)

  5. calculusxy
    • one year ago
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    so if z = 30 then wouldn't x equal to 75 or would it be 60?

  6. Jhannybean
    • one year ago
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    Okay, let's look at it a different way.

  7. Jhannybean
    • one year ago
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    Let's say that in order to complete all the interior angles of a triangle, it has to be = 180, yes?

  8. calculusxy
    • one year ago
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    yes

  9. jim_thompson5910
    • one year ago
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    hints |dw:1443915336204:dw|

  10. Jhannybean
    • one year ago
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    Therefore, if we take in to consideration the missing sides, then we will see that (180-y) will make a supplementary angle

  11. Jhannybean
    • one year ago
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    and the same goes for x. (180 - x) will give you the other missing angle within the triangle

  12. calculusxy
    • one year ago
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    @jim_thompson5910 so the triangle is not an equilateral triangles?

  13. Jhannybean
    • one year ago
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    And then if you add \(\angle z\) + missing side 1 + missing side 2, it would total to 180..

  14. Jhannybean
    • one year ago
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    An equilateral triangle means that all sides are 60 degrees.

  15. calculusxy
    • one year ago
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    oh yeah i completely forgot about that

  16. calculusxy
    • one year ago
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    would the answer be 210?

  17. Jhannybean
    • one year ago
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    missing side 1 = 180 - x missing side 2 = 180 - y we have z. z+ missing side 1 + missing side 2 = 180 z + (180 - x) + (180 - y) = 180

  18. jim_thompson5910
    • one year ago
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    `so the triangle is not an equilateral triangles?` it's not guaranteed it's equilateral, so it's hard to say if yes or no

  19. Zarkon
    • one year ago
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    210 is correct

  20. calculusxy
    • one year ago
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    thank you!

  21. Jhannybean
    • one year ago
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    30 + 360 -x-y = 180 x + y = 30 + 360 - 180 = 210

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