(Challenging) From the given figure, find the value of $x$ and $y$.

Question

From the given figure, find the value of $x$ and $y$.

My Attempt,

$$\angle QPB=\angle QAB=50$$ $$2\angle x=\angle y$$

Now, how to calculate further..?

Answer 1

Hint:

Look at your figure and note that $\angle PBA=\angle PQA = x$.

So, for fixed $\angle QPB=50°$, changing the position of $P$ the value of $x$ is such that:

If $P\to B$ then $x \to 90°$,

if $P\to A$ then $x \to 0°$

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In the figures you can see two situations.