Protractors
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A ruler, simple.o.o;
A sextant.the sextonan astrolabe
A tape measure.measurinng tape
Some of the devices used to measure angle are Transit, Protractor and Compass.
Well, it doesn't exactly have "an angle that measures 45 and 90 degrees". It has one angle that measures 45 degrees, and another angle that measures 90 degrees. That's an isosceles right triangle. The third angle is also 45 degrees, and the length of each leg is 70.7% of the length of the hypotenuse. .