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?
a.
128°
b.
118°
c.
62°
d.
108°

Answer 1

We know, sum of all exterior angles= 360
so,55 + 60 +69 + 57 + 57 + x = 360
x = 360 - 298 = 62

Now, adjacent angle + 52 = 180  [ Supplementary ]
adj = 180 - 62 = 118

In short, Your Answer would be Option B

Hope this helps!