Question

Five of the six exterior angle measures of a nonregular hexagon measure 55°, 60°, 69°, 57°, and 57°. What is the measure of the interior angle adjacent to the sixth exterior angle?

Answer 1

*exterior angle of every polygon measures 360 so 55+60+69+57+57+x=360
298+x=360
x=360-298
x=62
*the interior angle of a polygon is find using the formula "[n-2]180"n is the side of the polygon
[n-2]180
[6-2]180
4 x180
interior angle=720