WZ←→ is tangent to circle O at point B.
What is the measure of ∠OBZ?
80º
90º
160º
180º

Answer:
The correct option is 2.
Step-by-step explanation:
Given information: WZ is tangent to circle O at point B.
According to the tangent of circle theorem: The tangent line is perpendicular to the radius at the point of tangency. It means the angle formed on the point of tangency by tangent and radius is a right angle.
Since WZ is tangent to circle O at point B and OB is radius, therefore
[tex]\angle OBZ=90^{\circ}[/tex]
Therefore correct option is 2.