Question

I will crown you! And extra points! Just need some help on this question.

Answer 1

∠LMP = 77

∠NMP = 103

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