We have two angles that are complementary and they are given in the algebraic form.
Complementry angles are ones, whose sum is always 90 degrees.
[tex](12x-7)+(9x+13)\text{ = 90}[/tex][tex]21x+6=90[/tex][tex]x\text{ = }\frac{(90-6)}{21}=4[/tex]Therefore ZDEG = 12(4) -7 = 41 and ZGEN = 9 (4) +13 = 49
Sum of these two angles is indeed 90 degrees, so we have our answer.
