M And m Use the angle addition postulate to set up and solve the equation for x then plug x back into find the measurement of the angle sut.

Respuesta :

The value of x and m<NBS are 6 and 68 degrees respectively

Addition postulate

The point where two lines meet is an angle. From the figure below;

m<NBR = 17x +8

m<NBS = 12x -4

m<SBR = 42

According to the addition postulate;

m<NBR = m<NBS + m<SBR

Substitute

17x+8 = 12x-4+42

17x-12x = 38-8
5x = 30

x = 6

Determine the measure of m<NBS
m<NBS = 12x - 4
m<NBS = 12(6) - 4
m<NBS = 68degrees

Hence the value of x and m<NBS are 6 and 68 degrees respectively

Learn more on addition postulate here: https://brainly.com/question/14957499

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