WZ is tangent to circle O at point B. The measure of [tex]\angle OBZ[/tex] is [tex]90^{\circ}[/tex].
Given,
line wz is tangent to circle O at point B.
We have to find out the measure of [tex]\angle OBZ[/tex].
What is a tangent?
A tangent to a circle is a straight line which touches the circle at only one point. This point is called the point of Tangency.
The tangent to a circle is perpendicular to the radius at the point of tangency.
Here in circle O, WZ is the tangent which touches the circle at point B,
so B is the point of tangency and the [tex]\angle OBZ[/tex] is [tex]90^{\circ}[/tex].
Hence the correct option is B. [tex]90^{\circ}[/tex]
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