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Lincoln is measuring the angles of quadrilateral WXYZ to determine whether it is congruent to the quadrilateral below. Quadrilateral R S T Q. Angle R is 140 degrees, angle S is 94 degrees, angle T is 79 degrees, and angle Q is 47 degrees. Which pair of measurements are possible if they are congruent figures? Measure of angle W = 47 degrees and Measure of angle X = 94 degrees Measure of angle X = 94 degrees and Measure of angle Z = 79 degrees Measure of angle W = 47 degrees and Measure of angle Y = 140 degrees Measure of angle X = 140 degrees and Measure of angle Y = 94 degrees

User Bilal
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2 Answers

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Final answer:

The pair of measurements that are possible in congruent quadrilaterals are Measure of angle X = 94 degrees and Measure of angle Z = 79 degrees.

Step-by-step explanation:

Quadrilateral WXYZ is congruent to quadrilateral RSTQ if their corresponding angles are congruent. Let's compare the measurements of the angles in both quadrilaterals:

  • Angle R in RSTQ = 140 degrees, Angle W in WXYZ = 47 degrees
  • Angle S in RSTQ = 94 degrees, Angle X in WXYZ = 94 degrees
  • Angle T in RSTQ = 79 degrees, Angle Z in WXYZ = 79 degrees
  • Angle Q in RSTQ = 47 degrees, Angle Y in WXYZ = 140 degrees

Therefore, the pair of measurements that are possible in congruent figures are:

  • Measure of angle X = 94 degrees and Measure of angle Z = 79 degrees

User Marsze
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Answer:

Hello! I'm currently doing the test right now on e d g e n u i t y 2/28/2022 and I believe that the right answer is: m<X = 140 and m<Y = 94

Step-by-step explanation: Sorry if I'm wrong.

:)

User Mnishiguchi
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