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