[tex]\angle AOB \ ; \angle BOC -adiacente \\\\ mas \ \angle AOB=x \\\\ mas \ \angle BOC= \frac{3}{4}* mas \ \angle AOB= \frac{3}{4}*x \to \frac{3x}{4} \\\\\\\ [ OM- \ bisect. \ \angle AOB \implies \\\\ \implies mas \ \angle AOM=mas \ \angle MOB= \frac{mas \ \angle AOM}{2} =\frac{x}{2} [/tex]
[tex]\underline{mas \ \angle CON=20^0} \\\\\\ mas \ \angle MOB+mas \ \angle BON=90^0 \\\\ \frac{x}{2}+mas \ \angle BON=90^0 \\\\ mas \ \angle BON= 90^0-\frac{x}{2} \\\\\\ mas \ \angle CON+mas \ \angle BON=\frac{3x}{4} \\\\ 20^0+mas \ \angle BON=\frac{3x}{4} \\\\ mas \ \angle BON= \frac{3x}{4}-20^0 [/tex]
[tex]\frac{3x}{4}-20^0=90^0-\frac{x}{2} \\\\ -20^0-90^0=-\frac{x}{2}^{(2}-\frac{3x}{4} \\\\ -110^0= \frac{-2x-3x}{4} \\\\ -440^0=-5x \\\\ x=88^0 \\\\\\ \boxed{mas \ \angle AOB=88^0} \\\\\\ mas \ \angle BOC= \frac{3x}{4} =\frac{3*\not 88^0}{\not 4}= 3*22^0 \\\\\\ \boxed{mas \ \angle BOC=66^0}[/tex]
