Answer: [tex]99^{\circ}[/tex]
Step-by-step explanation:
In the given picture , we have a hexagon having all its exterior angles.
We know that the sum of all exterior angles is [tex]360^{\circ}[/tex].
Let x be measure of [tex]\angle{AFE}[/tex]
Then , the exterior angle to [tex]\angle{AFE}=180^{\circ}-x[/tex]
Then According to the given figure , we have
[tex]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}[/tex]
Hence, the measure of [tex]\angle{AFE}=99^{\circ}[/tex]
