step 1
we know that
the formula to calculate the sum of the interior angles in any polygon is equal to
S=(n-2)*180
where
n is the number of sides
in this problem n=5
so
S=(5-2)*180
S=3*180
S=540 degrees
step 2
we have that
S=90+135+82+z+5y
step 3
we have that
5y+45=180 -------> by form a linera pair
so
5y=180-45
5y=135
y=27 degrees
therefore
the answer is
option A
Note
step 1 and step 2 are not necessary, because the question is the value of y
