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Answer:

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Step-by-step explanation:

The sum of the measures of exterior angles on any shape is always 360 degrees.

If you meant to say the sum of the measures of the interior angles of a convex 65-gon, then it would be 11340 degrees.

(n-2)(180)      Substitute

(65-2)(180)    Subtract

(63)(180)        Multiply

11340

Sum of the measures of the exterior angles of a convex [tex]\boldsymbol{65-}[/tex]gon is equal to [tex]360^{\circ}[/tex]

An exterior angle is an angle between a side of a polygon and an extended side adjacent to it.

A polygon refers to any closed curve comprised of a set of connected sides such that no two sides cross.

Convex [tex]\boldsymbol{65-}[/tex]gon means a convex polygon with [tex]\boldsymbol{n}[/tex] sides.

The sum of measures of any polygon is equal to [tex]\boldsymbol{360^{\circ}}[/tex]

So, the sum of the measures of the exterior angles of a convex [tex]\boldsymbol{65-}[/tex]gon is equal to [tex]360^{\circ}[/tex]

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