Answer:
x= 8
Step-by-step explanation:
Angles ∠LPJ and ∠MPK are equal to each other
So ∠LPJ = [tex](3x+12)[/tex]
We can add angles ∠LPJ and angle ∠JPQ for a total of 90 degrees
Now with the below equation set up, you can solve for X.
[tex](3x+12)+(9x-18)=90[/tex]
[tex]12x -6 = 90[/tex]
[tex]12x = 96[/tex]
[tex]x=8[/tex]
