Remark
Solve for y first
Then solve for x.
Solution
All triangles have 180 degrees. There is not one that doesn't.
You know about 2 of the three angles so add them
y + 90 + 34 = 180
y + 124 = 180 Subtract 124 from both sides
y = 180 - 124
y = 56 <<<<< answer
All straight lines have 180 degrees when measured around a point.
x + y = 180
x + 56 = 180
x = 180 - 56
x = 124 <<<<< Answer