Answer:
kpm is about 110.02 degrees
Step-by-step explanation:
-kpl and npm are vertical angles, so they're congruent
-npm and lpm are supplementary angles, meaning they add to 180 degrees
we r given:
npm = 14x - 22
lpm = 7x + 4
add these and set equal to 180:
14x - 22 + 7x + 4 = 180
then combine like terms:
21x -18 = 180
isolate the variable by adding 18 on both sides:
21x = 198
divide by 21 on both sides:
x = about 9.43
since kpl and npm r congruent, plug in the value of x in npm (14x-22):
14(9.43)-22
= 110.02
