What is the value of b?

Here we can see that the 114° angle & b makes a straight line. Since they form a straight line, their sum will be equal to 180° & they are known as a linear pair.

So, the value of b is 66°.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c