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Question Number 166928 by amin96 last updated on 02/Mar/22

Answered by mr W last updated on 02/Mar/22

$$apicturesaysmorethanathousant$$$$words...$$

Commented by mr W last updated on 03/Mar/22

Commented by mr W last updated on 03/Mar/22

$$ECDHiscyclic,$$$$\Rightarrow blueangle\mathrm{\angle }HDE=\mathrm{\angle }HCE=\alpha$$$$similarly$$$$\Rightarrow redangle\mathrm{\angle }HDF=\mathrm{\angle }HBF=\beta$$$$\mathrm{\Delta }BFH\sim \mathrm{\Delta }CEH$$$$\Rightarrow \mathrm{\angle }HBF=\mathrm{\angle }HCE$$$$\Rightarrow \mathrm{\angle }HDF=\mathrm{\angle }HDE$$

Commented by som(math1967) last updated on 03/Mar/22

$$\mathrm{\angle }HDE=\mathrm{\angle }HCE=\alpha$$$$\mathrm{\angle }HBF=\mathrm{\angle }HBF=\beta$$$$againB,C,E,Falsocyclic$$$$\therefore \mathrm{\angle }EBF=\mathrm{\angle }ECF$$$$\therefore \beta =\alpha$$$$$$

Commented by Tawa11 last updated on 03/Mar/22

$$\mathrm{Great}\mathrm{sir}$$

Commented by Tawa11 last updated on 03/Mar/22

$$\mathrm{Great}\mathrm{sir}$$

Commented by otchereabdullai@gmail.com last updated on 21/Mar/22

$$\mathrm{nice}!$$

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