Question

the figure below shows a circle with center t, diameter hu, secants uq and uf, and tangent qk. which of the angles must be right angles? select all that apply. answer attempt 1 out of 1 ∠hq u ∠qhf ∠qht ∠uqn ∠utq

Explanation:

Step1: Recall circle - tangent property

A tangent to a circle is perpendicular to the radius at the point of tangency. Since $QK$ is tangent to the circle with center $T$ at point $Q$, and $TQ$ is a radius, $\angle TQK = 90^{\circ}$. Also, an angle inscribed in a semi - circle is a right angle. Since $HU$ is a diameter, $\angle HQU=90^{\circ}$ (angle inscribed in a semi - circle).

Answer:

$\angle HQU$