Question

Can someone help geometry is confusing

Answer 1

<LMP and <NMP are supplementary angles so sum = 180

<LMP + <NMP = 180

(-16x + 13) + ( - 20x + 23) = 180

-16x + 13 - 20x + 23 = 180

-36x + 36 = 180

-36x = 144

x = -4

<LMP = -16x + 13 = -16(-4) + 13 = 77

<NMP = - 20x + 23 = - 20(-4) + 23 = 103

Answer

<LMP = 77°

<NMP = 103°