NeishaE574734 NeishaE574734
  • 25-10-2022
  • Mathematics
contestada

find the value of the misssing variables im pretty sure the answer is either a or c

find the value of the misssing variables im pretty sure the answer is either a or c class=

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KaycenX411369 KaycenX411369
  • 25-10-2022

the sum of the internal angles of the 4-sided polygon is 360, therefore

[tex]\begin{gathered} m\angle D+m\angle G+m\angle F+m\angle E=360 \\ m\angle D+m\angle G+64+119=360 \\ m\angle D+m\angle G+183=360 \\ m\angle D+m\angle G+183-183=360-183 \\ m\angle D+m\angle G=177 \end{gathered}[/tex]

then

[tex]m\angle D=y=116[/tex][tex]m\angle G=z=61[/tex]

answer: a. y = 116° and z = 61°

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