A non-regular hexagon has five exterior angle measures of 52, 56, 65, 54, and 53. What is the measure of the interior angle adjacent to the sixth exterior angle?

An Exterior angle is the angle formed by a rectilinear figure's side and a neighbouring side that is stretched outside. The measure of the sixth exterior angle will be 80°.
An Exterior angle is the angle formed by a rectilinear figure's side and a neighbouring side that is stretched outside.
The sum of the exterior angles of a polygon is equal to 360°. Therefore, the measure of the sixth exterior angle can be written as,
52° + 56° + 65° + 54° + 53° + x =360°
x = 360° - 280°
x = 80°
Hence, the measure of the sixth exterior angle will be 80°.
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