#### SparkyChem

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In the figure. Find x.

According to my book the answer is 15 degrees.

However I don't know how to solve for this problem. Since I am not good with constructions, perhaps someone here can help me?

The thing is that this must be solved using only synthetic euclidean geometry. No trigonometry.

There's more. It is not allowed to use similarity, but congruency and other simple relations in triangles can be used.

It is to be noted, can you please attach a drawing so I could understand the solution?.

With this requirements. Can it be solved?. I know it can be challenging but maybe someone of you guys may know. Please, help?.