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anonymous

  • one year ago

The image shown has two triangles sharing a vertex: There are two triangles labeled UVW and WXZ with a common vertex W. In triangle UVW, angle VUW is labeled as y, and angle WVU is labeled as 50 degrees. In triangle WXZ, angle WXZ is labeled as 50 degrees. What is the measure of ∠WZX, and why? y over 2, because Triangle UVW is congruent to triangle WXZ y, because Triangle UVW is similar to triangle ZXW y + 50 degrees, because Triangle UVW is similar to triangle ZXW 130 degrees − y, because Triangle UVW is congruent to triangle WXZ

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    I believe the Answer is A but i could be wrong

  3. Michele_Laino
    • one year ago
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    we can write this formula: m<UWV = 180-50-y since UWV, 50, y are interior angles of triangle UWV

  4. anonymous
    • one year ago
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    = 130

  5. Michele_Laino
    • one year ago
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    furthermore, we have: m<ZWX = m<UWV since <ZWX and <UWV are vertical or opposite angles

  6. Michele_Laino
    • one year ago
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    so we have: m<UWV= m<ZWX = 130-y

  7. anonymous
    • one year ago
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    So the answer is D.

  8. Michele_Laino
    • one year ago
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    yes!

  9. anonymous
    • one year ago
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    okay i get it

  10. anonymous
    • one year ago
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    thank you Michele (:

  11. Michele_Laino
    • one year ago
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    :)

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