[tex]\displaystyle\\
\text{Se da:}\\
\Delta MNP\\
MP=3~cm\\
m(\sphericalangle M=108^o)\\
m(\sphericalangle N=36^o)\\
A\in NP;~~AN=AP\\\\
\text{Se cere:}\\
a)~MN\\
b)~m(\sphericalangle MAP)\\
c)~m(\sphericalangle AMP)\\\\
\text{Rezolvare:}\\\\
m(\sphericalangle P)=180-108-36=\boxed{36^o}\\
\Longrightarrow~\text{Unghiurile N si P sunt congruente.}\\
\Longrightarrow~\Delta MNP \text{ este isoscel.}\\
a)~MN=MP=3~cm\\
MA \text{ este mediatoare, bisectoare}\\
b) m(\ \textless \ MAP)=90^o\\
c)m(\ \textless \ AMP)= 108/2=54^o[/tex]
