Answer:
m∠JLN = 42°
m∠MLK = 90°
m∠KLO = 42°
m∠JLO = 138°
m∠AGE = 160°
Step-by-step explanation:
m∠JLN = [tex]90-48=42[/tex]°
m∠MLK = 90°
m∠KLO = 42° (∠KLO opposite of ∠JLN, Opposite angles are congruent)
m∠JLO = [tex]180-42=138[/tex]°
For the second question, things become somewhat more complex.
We know that ∠GHD = [tex]2x[/tex]° and ∠AGH [tex](x+15)[/tex]°.
You correctly calculated that [tex]x=15[/tex]°.
∠AGE is equal to both [tex]180-(x+15)[/tex]° and [tex]180-2x[/tex]°. Either equation will work just fine.
∠AGE = [tex]180 - (15 + 15) = 180 - 30 = 160[/tex]°
So m∠AGE = 160°
