Answer:
The values of x = 12 and y = 8.
Explanation:
From the given figure , 
ΔMTW≅ΔBGK
That is, these two triangles are congruent.
If two triangles are congruent , all the corresponding angles and corresponding sides are equal.
Congruency is different from similarity . Similarity means two triangles which are the same with different dimensions. 
Therefore , ∠MTW = ∠BGK
 (4x - 3)° = 45°
 4x = 48°
  x = 12
Since ∠MTW = 45° ,
 ∠TMW = 180 - (41 +45)
 = 180 - 86
 =94°
From congruency ,
∠TMW = ∠GBK
94° = 11y + 6
11y = 88°
y = 8