the measure of angle ABB'
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The answer will be 45 deg
First, the slope of BB' is 0. Thus, BB' is perpendicular to the x axis.
Taking point M to be on (5,2), AM is perpendicular to the y axis.
Thus, AM is perpendicular to BB'.
Thus angle AMB is a right angle and so, AMB is also a right triangle.
Now, the slope of AB = 1, and arctan(1) = 45deg.
Thus, the angle ABM = ABB' = 45 deg
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