Question

A convex pentagon has exterior angles with measures of 66, 77, 82, and 62. What is the measure of the missing exterior angle of this pentagon?

Answer 1

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°