TorreyD703816 TorreyD703816
  • 30-10-2022
  • Mathematics
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WXYZ is a parallelogram. After solving, b =So m

WXYZ is a parallelogram After solving b So m class=

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KennonN439510 KennonN439510
  • 30-10-2022

It is given that the quadrilateral WXYZ is a parallelogram.

By property of parallelogram the adjacent angles are supplementary so it follows:

[tex]\begin{gathered} \angle W+\angle Z=180 \\ 18b-11+9b+2=180_{} \\ 27b=189 \\ b=7 \end{gathered}[/tex]

Since the value of b is 7, the angle Z is given by:

[tex]\angle Z=9b+2=9(7)+2=65^{\circ}[/tex]

Hence b=7 and angle Z is 65 degrees.

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