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:
114°
Step-by-step explanation:
All exterior angles add up to 360. So, to find the sixth exterior angle, we can write and solve (let sixth exterior angle be x):
55 + 58 + 69 + 57 + 55 + x = 360
294 + x = 360
x = 360 - 294 = 66°
Interior angle adjacent to sixth exterior will add up to 180 degree, so
Interior angle + 66 = 180
Interior angle = 180 - 66 = 114°
2nd answer choice is right.