You can measure it. Or you can measure some other quantities (for examples, the lengths of the sides of a triangle), and calculate the angle using trigonometry.
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67 degrees
If you absolutely needed to measure an angle to find out its degree measure, you would use a protractor.
180o - 11o = 169o =====
90 - 43 = 47 degrees.
-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees