Question

the figure below shows a circle with center u, diameter bl, and tangents lp and dt. which of the angles must be right angles? select all that apply. answer attempt 1 out of 2 ∠nlu ∠bnl ∠ult ∠dtl ∠nlp

Explanation:

Step1: Recall tangent - radius property

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

Step2: Identify right - angled angles

Since \(LP\) is a tangent and \(UL\) is the radius (as \(U\) is the center and \(L\) is the point of tangency), \(\angle ULP = 90^{\circ}\). Also, since \(DT\) is a tangent and \(UD\) is the radius ( \(D\) is the point of tangency), \(\angle UDT=90^{\circ}\). Among the given angles, \(\angle ULT\) and \(\angle UDT\) are the angles formed by the radius and the tangent at the point of tangency.

Answer:

\(\angle ULT\), \(\angle UDT\)