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