SEAMO 2018 — Paper E — Grade 9–10 Question 10

Question 10

In trapezium $ABCD$, $AD\parallel BC$, $AB\perp BC$, $AB=BC$ and $AE=AD$. Point $E$ lies on $AB$ and $\angle BEC=75^\circ$. Find $\angle DCE$.

Question illustration

$45^\circ$
$50^\circ$
$55^\circ$
$60^\circ$
$65^\circ$