Answer:
633 degrees
Explanation:
Angles i and l are each supplementary to k, so they each measure 180 degrees - 89 degrees =91 degrees. Then angle j is supplementary to each of i and l, so the measure of j is 180 degrees - 89 degrees =91 degrees, the same as k.
Thus, we've measured all the angles in the cluster of angles that share a vertex with k. Every other cluster of angles is congruent to this one, because these clusters are all formed by a single transversal of six parallel lines.
Thus,
s+e+q+u+o+i+a = 89 degrees + 91 degrees + 91 degrees + 91 degrees + 89 degrees + 91 degrees + 91 degrees
= (7 x 90 - 2 + 5) degrees
= 633 degrees
The total number of degrees is 633.