To solve this problem it is important to remember the following: The sum of the exterior angles of a convex pentagon is 360°.
Keeping the information above on mind, you muts follow the proccedure shown below:
Sum of exterior angles=360
66+77+82+62+x=360
287+x=360
When you clear "x", you obtain:
x=360-287
x=73
Therefore, as you can see, the answer is= 73°