It is an angle whose measure is 45/360 = 1/8 of a full rotation.
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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. .
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I assume you mean a triangle. 180 degrees - 45 degrees - 90 degrees = 45 degrees
Each interior angle measures 135 degrees Each exterior angle measures 45 degrees