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Question
the figure below shows a circle with center v, diameter qa, and tangents ac and ar. which of the angles must be right angles? select all that apply. answer attempt 1 out of 2 ∠avx ∠qjm ∠vqj ∠jqm ∠var ∠vxc
Step1: Recall tangent - radius property
A tangent to a circle is perpendicular to the radius at the point of tangency.
Step2: Identify relevant angles
Since \(AC\) is a tangent and \(VA\) is a radius, \(\angle VAR = 90^{\circ}\). Since \(XC\) is a tangent and \(VX\) is a radius, \(\angle VXC=90^{\circ}\).
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\(\angle VAR\), \(\angle VXC\)