The measure of m<3 is 105 degrees
Using the law that states that the sum of an interior angle of a rectangle is equal to the exterior.
From the given diagram;
m<X + m<Y = m<3
Given that m<X= 55 degrees and m<Y = 50 degrees
m<3 = 55 + 50
m<3 = 105 degrees
Hence the measure of m<3 is 105 degrees
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