Answer:
x=9
[tex]\angle LMN=60^\circ; \\\angle PML=120^\circ[/tex]
Step-by-step explanation:
If [tex]\angle LMN $and $ \angle PML[/tex] are linear pairs; then:
[tex]\angle LMN + \angle PML=180^\circ$ (Linear Postulate)\\\angle LMN=7x -3; \angle PML=13x + 3\\Therefore:\\7x -3+13x + 3=180^\circ\\20x=180^\circ\\x=9[/tex]
Therefore:
[tex]\angle LMN=7(9) -3=63-3=60^\circ; \\\angle PML=13(9) + 3=117+3=120^\circ[/tex]
