Answer:
∠LMP = 77
∠NMP = 103
Step-by-step explanation:
to find the measure of ∠LMP and ∠NMP
we know that ∠LMN is a straight line so that will be 180 degrees
so you can say that
∠LMP + ∠NMP = 180
(-16x +13) + (-20x +23) = 180
-16x +13 -20x + 23 = 180
-36x + 36 = 180
-36x = 180-36
-36x = 144
x = 144/-36
x = -4
∠LMP = (-16x +13)
= ( -16 (-4) + 13)
= ( 64 + 13)
= 77
∠LMP = 77
∠NMP = (-20x +23)
= (-20 (-4) + 23)
= 80 + 23
= 103
∠NMP = 103
