Answer:
[tex]x=140\degree[/tex]
Step-by-step explanation:
The tangents meet the circle at right angles.
The sum of angles in a quadrilateral is 360 degrees
The two given angles will therefore add up to 180 degrees.
This implies that;
[tex]x+40\degree=180\degree[/tex]
We solve for x to obtain:
[tex]x=180\degree-40\degree[/tex]
This simplifies to
[tex]x=140\degree[/tex]
[tex]\therefore x=140\degree[/tex]
