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D) 121 degrees

Step-by-step explanation:

A linear pair is a pair of angles that share a side and a base. In other words, they are the two angles created along one line when two lines intersect. Linear pairs are always supplementary.

In this case, since supplementary angles add up to 180 degrees, we set up an equation:

<A+<B=180

(6x-19)+(11x-22)=180

17x-41=180

17x=221

x=13

Now we plug in x=13 for angle B:

11x-22

11(13)-22

143-22

121

Therefore, the measure of angle B is 121 degrees