SEAMO 2027 - Paper B - SET 10 - Self-study Question 10

Question 10

In triangle $ABC$, $AB=AC$, $CD=CB$, $\angle ADC=115^\circ$ and $\angle DCB=50^\circ$. Find $\angle A$.

As shown, D lies on the side AB.

Question illustration

$32^\circ$
$48^\circ$
$50^\circ$
$62^\circ$
$64^\circ$