Answer:
Supplementary to x is a 90° angle (right angle) which means that both x and the right angle will have to equal 180 degrees:
90 + x = 180
-90 -90
x = 90°
Let's find the angle measure that is supplementary to y.
A 5 sided shape is equal to 540 degrees (you could find this by using the formula: (n - 2) x 180 where n is the number of sides)
so given interior angles:
90 + 80 + 98(supplementary to angle 82 degrees) + 136 + 136(two equal angle measures in the polygon that are missing)
= 540(which is correct), so now we know the two missing angles, 136, besides the angle supplementary to 82 degrees.
136 is supplementary to y so:
136 + y = 180
-136 -136
y = 44°
