Question

the figure below shows a circle with center f, diameter am, secants ac and mz, and tangent ow. which of the angles must be right - angles? select all that apply. answer
∠moc
∠oms
∠fow
∠fom
∠omz

Explanation:

Step1: Recall circle - tangent property

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

Step2: Analyze each angle

• For $\angle FOW$: Since $OW$ is a tangent and $FO$ is a radius, $\angle FOW = 90^{\circ}$ (tangent - radius property).
• For $\angle FOM$: There is no information indicating that the lines forming $\angle FOM$ are perpendicular.
• For $\angle MOC$: There is no information indicating that the lines forming $\angle MOC$ are perpendicular.
• For $\angle OMS$: There is no information indicating that the lines forming $\angle OMS$ are perpendicular.
• For $\angle OMZ$: There is no information indicating that the lines forming $\angle OMZ$ are perpendicular.

Answer:

$\angle FOW$