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19 May, 05:43

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?

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  1. 19 May, 05:51
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    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°
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