Ta có:OC là phân giác
\Rightarrow$\widehat{AOC}=\widehat{BOC}$
Mà hai góc AOM bằng góc BON (cùng bằng 20 độ
Trừ vế theo vế ta có:
$\widehat{AOC}-\widehat{AOM}=\widehat{BOC}-\widehat{BON}$
\Rightarrow$\widehat{MOC}=\widehat{NOC}$ Vậy OC là tia phân giác của góc MON
b)Ta có $\widehat{B'OA}+\widehat{AOB}=180{}^\circ $
\Rightarrow$\widehat{B'OA}=180{}^\circ -144{}^\circ =36{}^\circ $
Mà $\widehat{AOC}=\frac{144{}^\circ }{2}=72{}^\circ $
Nên $\widehat{B'OA}<\widehat{AOC}$
Mà góc AOC bằng Góc BOC nên $\widehat{B'OA}<\widehat{BOC}$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&*********************************************************************(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))_________________________________________+++++++++++++++++++++++++++++++++++++++++++++++++++++||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||