In the image, is there a nice way to write down the sum of a+b+c?
2026-05-15 00:37:16.1778805436
Clever way to sum these angles?
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Using the formula for the tangent of a sum: $$\tan(b+c)=\frac{\tan b + \tan c}{1-\tan b\tan c}=\frac{\frac12 + \frac 13}{1-\frac12\cdot\frac13}=1$$ so $b+c=45^\circ$. Clearly $a=45^\circ$.