ANSWER
[tex]x = 54\degree[/tex]
EXPLANATION
The diameter meets the tangent to the circle at right angles.
The sum of interior angles of a triangle is 180°.
This implies that
[tex]x + 36 \degree + 90 \degree = 180 \degree[/tex]
Group the constant terms
[tex]x = 180 \degree - 36 \degree - 90 \degree[/tex]
We simplify to obtain,
[tex]x = 54\degree[/tex]
