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To find the measure of angle B, we need to determine the sum of the angles in triangle ABC, which is always equal to 180 degrees.
Since we know that m<A = 63 and m<C = 99, we can calculate the measure of angle B using the equation:
m<A + m<B + m<C = 180
Substituting the values we know:
63 + m<B + 99 = 180
Combine like terms:
m<B + 162 = 180
Subtract 162 from both sides:
m<B = 180 - 162
m<B = 18
Therefore, the measure of angle B is 18 degrees.