Answer:
![99^(\circ)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yk8ai7qtm9mahoqa9wamop8xqa6jfem9ie.png)
Explanation:
In the given picture , we have a hexagon having all its exterior angles.
We know that the sum of all exterior angles is
.
Let x be measure of
![\angle{AFE}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/16v730c5wbsyzl6zbfzrpbxdqo13t2znbf.png)
Then , the exterior angle to
![\angle{AFE}=180^(\circ)-x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3ny53vzunziqq6emn1asjiqqouu39j0a1l.png)
Then According to the given figure , we have
![62^(\circ)+44^(\circ)+70^(\circ)+60^(\circ)+43^(\circ)+180^(\circ)-x=360^(\circ)\\\\\Rightarrow\ 459^(\circ)-x=360^(\circ)\\\\\Rightarrow\ x=459^(\circ)-360^(\circ)\\\\\Rightarrow\ x=99^(\circ)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/taidlh94ycqe5g43tgbdrfjtkmb0yq8khv.png)
Hence, the measure of
![\angle{AFE}=99^(\circ)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6j91ab6rw2oej6juph4sme29of08y440vw.png)