Question

the figure below shows a circle with center z, diameter dk, secants bv and by, and tangent vw. which of the angles must be right angles? select all that apply. answer attempt 1 out of 2 ∠zbv ∠bvw ∠zva ∠vby ∠bvw ∠bzv

Explanation:

Step1: Recall circle - tangent property

A radius is perpendicular to the tangent at the point of tangency.

Step2: Analyze angles

If a line is tangent to a circle and a radius is drawn to the point of tangency, the angle between them is a right - angle. In the given circle with center \(Z\), if \(VA\) is tangent to the circle at \(V\) and \(ZV\) is a radius, then \(\angle ZVA = 90^{\circ}\). There is no information in the problem to suggest that the other angles (\(\angle ZBV,\angle BIW,\angle VBY,\angle BVW,\angle BZV\)) are right - angles.

Answer:

\(\angle ZVA\)