<div class="content-block content-block--columns"><div class="question-columns question-columns--2" data-layout="2"><div class="question-column" style="flex: 1; align-self: flex-start;"><div class="graph-block" data-graph-config="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" data-width="213" data-height="185" data-proportional style="width:213px;height:185px;max-width:100%;display:flow-root;margin:0 auto;--graph-width:213px;--graph-aspect:213 / 185;"></div></div><div class="question-column" style="flex: 1; align-self: center;"><p style="text-align: left">The angle between a tangent and a chord at the point of contact is equal to the angle subtended by the chord in the alternate segment.</p><p style="text-align: left">In the diagram, \(\angle x=\angle y\).</p><p style="text-align: left">Abbreviation: \(\angle s\) in alt. seg.</p></div></div></div>
<p class="paragraph-header">Identifying the angles</p>
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<p>Identify the tangent and chord. The equal angle lies in the alternate segment.</p>

Identify the tangent and chord. The equal angle lies in the alternate segment.

Alternate Segment Theorem

Alternate Segment Theorem

Video Solution:

Solution:

Solution locked