Question

which of the angles must be right angles? select all that apply. answer attempt 1 out of 2 ∠zbv ∠bwv ∠zva ∠vby ∠bvw ∠bzv

Explanation:

Step1: Recall tangent - radius property

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

Step2: Analyze angles at tangency

If we assume that some of the lines are tangents to the circle and the lines from the center of the circle to the points of tangency are radii. Let's assume that the circle has center \(Z\). If a line is tangent to the circle at a point (say \(V\) or \(B\)), then the angle between the radius and the tangent is a right - angle.
If \(AV\) is tangent to the circle at \(V\) and \(ZB\) is a radius, and \(ZV\) is a radius:

• If \(AV\) is tangent to the circle at \(V\), then \(\angle ZVA = 90^{\circ}\) (tangent - radius property).
• If \(BY\) is tangent to the circle at \(B\), then \(\angle ZBV=90^{\circ}\) (tangent - radius property).

Answer:

\(\angle ZBV\), \(\angle ZVA\)