<p>In the figure, \(O\) is the centre of the circle \(ABCD\). The smaller circle \(AOKD\) intersects the larger circle at \(A\) and \(D\). Given that \(AOB\), \(AKC\) and \(BKD\) are straight lines, prove that</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">\(DK = CK\),</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(BKD\) bisects \(\angle ODC\).</span></div></li></ol>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/public/question-images/pasted/1768107139966-543ba3xiig6.png" style="max-width: min(200px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>

In the figure, \(O\) is the centre of the circle \(ABCD\). The smaller circle \(AOKD\) intersects the larger circle at \(A\) and \(D\). Given that \(AOB\), \(AKC\) and \(BKD\) are straight lines, prove that

Proofs in Plane Geometry

Question 2ca94e4d

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