Parallel-line angles

<p>In the diagram, \(O\) is the centre of the larger circle. \(AOB\), \(AKC\) and \(BKD\) are straight lines. Prove that</p>
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<ol class="i-list"><li data-list-item-id="item-i" data-list-item-path="item-i"><div class="list-item-paragraph">\(DK = CK\) ,</div></li><li data-list-item-id="item-ii" data-list-item-path="item-ii"><div class="list-item-paragraph">\(AB\) is parallel to \(CD\) , and</div></li><li data-list-item-id="item-iii" data-list-item-path="item-iii"><div class="list-item-paragraph">\(DKB\) bisects angle \(ODC\) .</div></li></ol>
<p>As shown, \(A,B,C,D\) lie on the larger circle and \(A,O,D,K\) lie on the smaller circle.</p>

In the diagram, \(O\) is the centre of the larger circle. \(AOB\), \(AKC\) and \(BKD\) are straight lines. Prove that

As shown, \(A,B,C,D\) lie on the larger circle and \(A,O,D,K\) lie on the smaller circle.

Basic Geometry - Angles Formed by Two Parallel Lines and a Transversal

Basic Geometry - Angles Formed by Two Parallel Lines and a Transversal

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