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SMO 2022 Junior Round 1 Question 19

SMO · SMO 2022 Junior Round 1

Question 19

In the following diagram, $ACD$ is a triangle such that $|AB|=|BC|$, $\angle ABD=45^\circ$ and $\angle BDC=15^\circ$. If $\angle ADB=x^\circ$, what is the value of $x$?

Question illustration