As a flooring installer I have to use every imaginable angle to match the room.
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It depends on the angle not all obtuse angles measure the same. To measure an angle you use a protractor.
Connect two ends of the obtuse angles, making a sort of M shape. Then use the line to connect the points at the top of the M. Pivoting the two obtuse angles might be necessary, depending on line length.
In an obtuse triangle, one angle is obtuse and the other two are acute. "The buildings are arranged in an obtuse triangle and occupy most of the long, thin parcel of land."
Unless you are an electrical engineer or a math teacher, every number you will ever use in a real world situation will be a real number.
Line up the vertex, then if it is an acute angle use the small number, obtuse use the big number, next all you have to do is bring your finger up to where the angle line is and see what number, big or small it lines up with on the protractor!