anonymous
  • anonymous
Find the value of x and y in the parallelogram below. image of parallelogram WYZX with angle W labeled as 3 y degrees, angle X as y degrees, and angle Z as 3 x degrees A. x = 60 ; y = 60 B. x = 45; y = 45 C. x = 45; y = 135 D. x = 135; y = 45
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Directrix
  • Directrix
Side WY of the parallelogram is parallel to side XZ of the parallelogram. Therefore, angles W and X are supplementary because they are same-side interior angles formed by a transversal WX which cuts parallel segments WY and XZ. 3y + y = 180 4y = 180 y = 45 Angle W has measure 3 (45) = 135. Angle W is equal in measure to Angle Z because opposite angles of a parallelogram are congruent. Therefore, angle Z = 135 which is x. D. x = 135; y = 45 --> Answer

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