Question

the figure below shows a circle with center j, diameter (overline{fa}), and tangents (overleftrightarrow{vt}) and (overleftrightarrow{at}). which of the angles must be right angles? select all that apply.

Explanation:

Step1: Recall the property of tangent to a circle

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

Step2: Identify the right - angled triangles

Since \(\overleftrightarrow{VT}\) is a tangent to the circle at \(V\) and \(JV\) is the radius, \(\angle JVT = 90^{\circ}\).
Since \(\overleftrightarrow{AT}\) is a tangent to the circle at \(A\) and \(JA\) is the radius, \(\angle JAT=90^{\circ}\)

Answer:

\(\angle JVT\) and \(\angle JAT\)