Question

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

Answer 1

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

`\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}`

then

`m\angle D=y=116`
`m\angle G=z=61`

answer: a. y = 116° and z = 61°