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<p>In the diagram, $BCDE$ is a quadrilateral and $\Delta ABE$ is an isosceles triangle.<br>$ED$ is parallel to $BC$ and $EB$ is parallel to $DC$, $ED=BC$ and $EB=DC$.<br></p>
<p>Given that&nbsp;$\angle AEB=82{}^\circ $ and $\angle BCE=26{}^\circ $,</p>
<ol class="abc-list"><li><div class="list-item-paragraph">state the special name of the quadrilateral $BCDE$,</div></li><li><div class="list-item-paragraph">find the values of $x$, of $y$ and of $z$.</div></li></ol>
<p>State all reasons in your workings.</p>

In the diagram, $BCDE$ is a quadrilateral and $\Delta ABE$ is an isosceles triangle.
$ED$ is parallel to $BC$ and $EB$ is parallel to $DC$, $ED=BC$ and $EB=DC$.


Given that $\angle AEB=82{}^\circ $ and $\angle BCE=26{}^\circ $,

state the special name of the quadrilateral $BCDE$,

find the values of $x$, of $y$ and of $z$.

Geometry Problem Involving Parallel Lines and Isosceles Triangle

Geometry Problem Involving Parallel Lines and Isosceles Triangle

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