Answer:
1) angle NMP=103 and angle LMP=77
2) angle QST=58 and angle RSQ=32
Explanation:
1) can find the angle NMP:
180-(-20x+13)=(-16x+23)
180+20x-13=-16x+13
180-13-23=-16x-20x
144=-36x
x=-4
angle NMP: 180-(-16*(-4)+13) = 103
angle LMP: 180-103 = 77
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2) can find the angle QST:
90-(15x-43)=(8x+18)
90-15x+43=8x+18
90+43-18=8x+15x
115=23x
x=5
angle QST: 90-(15*5-43)=90-(75-43)=58
angle RSQ: 90-58=32