Sum if triangles should be 180 so
44+a+10+x = 180
Also the flat angle on the line should be 180 too so
2a+x=180
You got 2 equations and 2 unknowns. You can find a and x
Configure second equation:
x=180-2a
Plug in x into first equation
44 + a + 10 + 180-2a = 180
234 -a = 180
a = 54
Exterior angle is 2a so 2(54) = 108
You can easily find x and plug into equations and check your answer too