11. Find the measure of

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

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