Question
Write down fifteen angles $($less than $180^\circ )$ involved in Fig.

Answer

The fifteen angles $($less than $180^\circ )$ shown in the figure are:
$\angle\text{EAD}, \angle\text{AEF}, \angle\text{EFD}, \angle\text{ADF}, \angle\text{DFC}, \angle\text{DCF}, \text{CDF}, $
$\angle\text{BEF}, \angle\text{BFE}, \angle\text{EBF}, \angle\text{FBC},\angle\text{FCB}, \angle\text{BFC}, \angle\text{ABC}$ and $\angle\text{ACS}$

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