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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

$$?=\frac{60}{2}=30°$$

Commented by liberty last updated on 18/Sep/21

$$whyEF=BE?$$

Commented by mr W last updated on 18/Sep/21

$$BE=BCclear!$$$$BC=BFclear!$$$$\Rightarrow BE=BF$$$$\mathrm{\angle }FBE=60°clear!$$$$\Rightarrow \mathrm{\Delta }FBEisequilateral$$$$\Rightarrow FE=BE$$$$\mathrm{\angle }FBD=37.5°clear!$$$$\Rightarrow FD=BD$$$$\Rightarrow \mathrm{\Delta }FDE\equiv \mathrm{\Delta }BDE$$$$\Rightarrow \mathrm{\angle }FED=\mathrm{\angle }BDE=?$$$$\Rightarrow 60°=2\times ?$$$$\Rightarrow ?=30°$$

Commented by Tawa11 last updated on 21/Sep/21

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}$$

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