Question Number 154395 by liberty last updated on 18/Sep/21
Commented by Tawa11 last updated on 21/Sep/21
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$
Answered by mr W last updated on 18/Sep/21
Commented by mr W last updated on 18/Sep/21
$$?=\frac{\mathrm{60}}{\mathrm{2}}=\mathrm{30}° \\ $$
Commented by liberty last updated on 18/Sep/21
$${why}\:{EF}={BE}? \\ $$
Commented by mr W last updated on 18/Sep/21
$${BE}={BC}\:{clear}! \\ $$$${BC}={BF}\:{clear}! \\ $$$$\Rightarrow{BE}={BF} \\ $$$$\angle{FBE}=\mathrm{60}°\:{clear}! \\ $$$$\Rightarrow\Delta{FBE}\:{is}\:{equilateral} \\ $$$$\Rightarrow{FE}={BE} \\ $$$$\angle{FBD}=\mathrm{37}.\mathrm{5}°\:{clear}! \\ $$$$\Rightarrow{FD}={BD} \\ $$$$\Rightarrow\Delta{FDE}\equiv\Delta{BDE} \\ $$$$\Rightarrow\angle{FED}=\angle{BDE}=? \\ $$$$\Rightarrow\mathrm{60}°=\mathrm{2}×? \\ $$$$\Rightarrow?=\mathrm{30}° \\ $$
Commented by Tawa11 last updated on 21/Sep/21
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir} \\ $$