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Maru [420]
3 years ago
11

I need help with this multiple choice question.

Mathematics
1 answer:
Neporo4naja [7]3 years ago
8 0

Answer:

D. <em>XY > WY</em>

Step-by-step explanation:

The angles in a triangle add to equal 180°, so subtract 180°-55°-58° and 180°-64°-61° for the missing values of ∠WYX and ∠YXZ, respectively: ∠WYX = 67°, ∠YXZ = 55°.

The longest side of a triangle is opposite the largest angle, and the shortest side of a triangle is opposite the smallest angle:

  • In the triangle on the left, the shortest side must be XY because it is opposite the smallest angle, ∠W; the longest side is WX, which is opposite the largest angle, ∠WYX (67°).
  • In the triangle on the right, the shortest side is YZ, opposite the smallest angle, ∠YXZ (55°); the longest side is XZ, opposite the largest angle, ∠XYZ (64°)
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