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

114°

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.