Answer:
128
Step-by-step explanation:
Top Triangle
Let the base angles of the top triangle = y
y + 102 = 180
y = 78
The vertex
Is found by adding the two base angles together and subtract that from 180
y + y + vertex = 180
78 + 78 + vertex = 180
156 + vertex = 180
vertex = 180 - 156
vertex = 24 degrees
Bottom Triangle
Because the base angles are connected by a vertically opposite angle on the bottom triangle, both base angles are 26
Therefore 26 + 26 + x = 180
52 + x = 180
x = 180 - 52
x = 128
