ANSWER
[tex]x = 140 \degree[/tex]
EXPLANATION.
The two tangents each meet the radius at 90° each.
This implies that,
[tex]x + 40 + 90 + 90 = 360[/tex]
The sum of interior angles of a Quadrilateral is 360°
We simplify to get
[tex]x + 40 = 180[/tex]
[tex]x = 180 - 40[/tex]
[tex]x = 140 \degree[/tex]
