Question Number 185283 by Mingma last updated on 19/Jan/23
Answered by HeferH last updated on 19/Jan/23
$$\mathrm{50}°\:? \\ $$
Commented by Mingma last updated on 20/Jan/23
Can you show your work? The answer is 50
Commented by HeferH last updated on 20/Jan/23
Commented by HeferH last updated on 20/Jan/23
$$\bigtriangleup{EAD}\:\sim\:\bigtriangleup{BAC}\:\:\:\:\:\left({by}\:{Angle};\:{Angle}\right)\: \\ $$$$\:\frac{{EA}}{{BA}}\:=\:\frac{{DA}}{{CA}}\:\Rightarrow\:\frac{{EA}}{{DA}}\:=\:\frac{{BA}}{{CA}}\: \\ $$$$\:\bigtriangleup{EAB}\:\sim\:\bigtriangleup{DAC}\:\:\:\left({by}\:{Side};\:{Angle};\:{Side}\right)\: \\ $$$$\:\angle{ECD}\:=\:\mathrm{80}° \\ $$$$\therefore\:\alpha\:=\:\mathrm{50}° \\ $$