Answer:
m∠MON = 53°
Step-by-step explanation:
Given information.
m∠LON = 103°
m∠MON = [tex]2x+33[/tex]°
m∠LOM = [tex]3x+20[/tex]°
We're looking for m∠MON.
m∠LON = m∠MON + m∠LOM
[tex]103[/tex]° = ( [tex]2x+33[/tex]° ) + ( [tex]3x+20[/tex]° )
Combine like terms
[tex]103[/tex]° = [tex]5x +53[/tex]°
Substract 53° to both sides.
[tex]50[/tex] = [tex]5x[/tex]
Divide by 5.
10 = x
Sub. 10 into the equation for m∠MON.
m∠MON = [tex]2x+33[/tex]°
m∠MON = [tex]2(10)+33[/tex]°
m∠MON = [tex]20+33[/tex]°
m∠MON = 53°
