The third angle can either be an acute angle or obtuse angle
The sum of an interior angle of a triangle is 180 degrees
Acute angles are angles that are less than 90 degrees. If the two angles of a triangle are acute, the two angles can be 30 and 45 degrees
If the third angle is m<C
m<C = 180 - (30 + 45)
m<C = 180 - 75
m<C = 105 degrees
Since the angle is greater than 90 and less than 180, hence it is an Obtuse angle.
Similarly, if the two angles of a triangle are acute, the two angles can be 30 and 89 degrees
If the third angle is m<D
m<D = 180 - (30 + 90)
m<D = 180 - 119
m<D = 61 degrees
Since the angle is less than 90degrees, hence it is an acute angle.
This shows that the third angle can either be an acute angle or obtuse angle
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