Answer:
x = 8
Step-by-step explanation:
With the outside angles known, we know the inside angles. Each angle on the outside in on a line so when added with the angle on the angle on the inside, it equals 180 degrees. We know 4 for sure so to save time, use this formula
(X * 180) - (All outside angles used)
X is the number angles used.
for us, it looks like this:
(4 * 180) - (59+77+66+62) = 456
456 is all the inside angles except for the angle beside 12x
subtract 456 from 540 because 540 is all the angles add to on a pentagon. we get 84.
This means 84 + 12x = 180 so we solve x
84 + 12x = 180
-84 -84
12x = 96
/12 /12
x =8
