What is the value of y in this triangle?

Given one angle, 98, you must find the other angle inside of L. To do this, subtract 134 from 180, since it's a straight line. You're left with 46. Add 98 and 46 to get 142. Subtract 142 from 180 once again to find the missing angle, which would be 38.

The sum of a triangle's angles is always 180°.  We have one angle of 98 and another which is the supplement to 134 which is 180-134=46.  Then:

180-98-46=y

y=36°

The answer would be option 4