Question

A nonregular hexagon has five exterior angle measures of 55, 58, 69, 57 and 55. What is the measure of the interior angle adjacent to the sixth exterior angle?

Answer 1

The exterior angles will have a sum of 360. First find the missing exterior angle.
360-(55+ 58+ 69+ 57+ 55)
360-(294)=66
The interior and exterior angles are supplementary so the interior angle is 180-66
= 114