Answer:
[tex]x=30\°[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠LOM+m∠MON=m∠LON ----> by angle addition postulate
we have
m∠LOM=2x°
m∠MON=x°
m∠LON=90° ----> is a right angle
substitute the values
[tex]2x+x=90[/tex]
solve for x
[tex]3x=90[/tex]
[tex]x=30\°[/tex]
