23jking
Answered

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I need help with this multiple choice question.

Given the diagram below, which statement is true?
Show your work.

I Need Help With This Multiple Choice Question Given The Diagram Below Which Statement Is True Show Your Work class=

Sagot :

Answer:

D. XY > WY

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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