Here is yet another problem from Presh Talwalkar. This one is rather elegant in its simplicity of statement and answer.

**“Solve For The Angle – Viral Puzzle**

I thank Barry and also Akshay Dhivare from India for suggesting this problem! This puzzle is popular on social media. What is the measure of the angle denoted by a “?” in the following diagram? You have to solve it using elementary geometry (no trigonometry or other methods). It’s harder than it looks. I admit I did not solve it. Can you figure it out?”

See the Shy Angle Problem.