Question

the figure below shows a circle with center w, diameter or, and tangent fi. which of the angles must be right angles? select all that apply. answer
∠wfi
∠oyr
∠fry
∠fwr
∠ofr

Explanation:

Step1: Recall tangent - radius property

A tangent to a circle is perpendicular to the radius at the point of tangency. Since \(FI\) is a tangent and \(WF\) is a radius, \(\angle WFI = 90^{\circ}\).

Step2: Recall semi - circle property

An angle inscribed in a semi - circle is a right angle. Since \(OR\) is a diameter, \(\angle OYR=90^{\circ}\) and \(\angle OFR = 90^{\circ}\) (angles subtended by the diameter \(OR\) in the semi - circle).

Answer:

\(\angle WFI\), \(\angle OYR\), \(\angle OFR\)