no. if it contained two 90 degree angles it would have to have at least four sides.
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Acute angles (less than 90 degrees) Obtuse angles (greater than 90 degrees) Right angles ( equal to 90 degrees)
The sine of an angle is obtained from a right angle triangle. The other two angles are acute, or less than 90 degrees. The sin of the angle is the side opposite the angle divided by the hypotenuse.
If Y is the right angle then the third angle is indeterminate. Otherwise it is 90 - Y degrees.
Acute angles are greater than 0 but less than 90 degrees Obtuse angles are greater than 90 but less than 180 degrees Reflex angles are greater than 180 degrees but less than 360 degrees
Two angles are complementary if they both add up to 90 degrees. This means that a complementary angle would have to be negative 23 degrees if the given angle is 113 (-23+113=90) . However I suspect that you are looking for the supplementary angle. Supplementary angles total 180 degrees. If so, the supplement would be 77 degrees.