Question

Fie D un punct situat in interiorul unghiului <EOF cu masura de 54de grade .Daca d(D,OE)=d(D,OF),aflati m(<EOD)

Answer 1

Sa zicem ca d(D,OE) = DE si d(D,OF) = DF, cu DE=DF, atunci
$DE\perp OE,~DF\perp OF~si~\triangle DEO~cu~\triangle DFO~sunt~dreptunghice$
$[OD]\equiv[OD]~si~[DE]\equiv[DF]\Rightarrow\triangle DEO\equiv\triangle DFO,~cazul~IC$
$\Rightarrow\angle DOE\equiv\angle DOF,~si~m(\angle DOE)=m(\angle DOF)=\frac{54^{\circ}}{2}=27^{\circ}$