Angles are measured using a protractor
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a protractor
degrees
When the angle you are measuring is obviously an obtuse angle (angle above 90 degrees, or when you draw a box in the angle and it turns out bigger than it's supposed to) you use the big numbers. When the angle is obviously acute (opposite definition of obtuse), you use the little numbers.
One way is to use a protractor. There are others
The purpose of measuring taper angle is to obtain taper angle