Question Number 180365 by Acem last updated on 11/Nov/22
Answered by greougoury555 last updated on 11/Nov/22
$${let}\:\angle\:{ABC}\:=\:\beta \\ $$$$\angle\:{AOC}=\:\mathrm{360}°−\mathrm{2}\beta \\ $$$$\:\mathrm{2}\alpha\:+\mathrm{360}°−\mathrm{2}\beta\:=\:\mathrm{180} \\ $$$$\:\Leftrightarrow\:\beta−\alpha\:=\:\frac{\mathrm{360}°−\mathrm{180}°}{\mathrm{2}}\:=\mathrm{90}° \\ $$
Commented by Acem last updated on 11/Nov/22
$${Thanks}! \\ $$