For this case we have that the sum of the interior angles of a triangle is 180 degrees.
So:
[tex]G + 45 + 53 = 180\\G = 180-45-53\\G = 82 \ degrees[/tex]
Thus, the angle of the vertex G of the triangle is 82 degrees.
Now, we must find the exterior angle x.
We know that, by definition:
[tex]x + 82 = 180\\x = 180-82\\x = 98[/tex]
So, the angle [tex]x = 98[/tex]
Answer:
98
