you put the dot (bottom middle) on one of the corners of a triangle and if the angle is more obtuse then acute you use the outer number but if more acute you use the inner number
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Measure it with a protractor.
If you are given a picture of a triangle and no information about it, then you could use a protractor.
using a protractor
A protractor measures the degree of angles and circles.
The answer will depend on what other information you have. If, for example, the angle is in a triangle, and you know the lengths of all three sides, you can use the cosine rule.