Explanation

SUPPLY a number for angle B. Since B > 90°, B can be anything greater than 90° (like 90.0009°), but start with the lowest possible integer, B = 91° to make calculations easier:



A + B + C = 180°
25° + 91° + C =180°
C = 64°

Now imagine if B were at the other extreme—as large as possible. :



A + B + C = 180°
25° + B + C =180°
B + C =155°
If B = 154°, then C = 1°

Angle C can be anything less than 65 degrees, so the first four answers are possible values of C.

Hence options A, B, C and D are correct.


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since angle B is greater than 90; A+C<90 because sum of three angles of a traingle is 180.
so C<90-A==> C<65. options A,B,C,D satisfy this condition.

Third angle < 180-(25+90)
Third angel < 65

Answer: A B C D

In addition to the awesome answers provided, I might humbly add mine.

Process
1. B > 90, so as B gets greater, C gets smaller.
2. This means, when B is smallest, C is greatest. In this case, we'll cheat a little bit to ease calculations and treat B's "smallest" value as being 90 degrees.
3. So, for the sake of simplicity, let's assume that angle B is actually 90 degrees (it can't actually be 90 degrees by the parameters of the problem, but this will give us a figure to go forward from).
4. The internal angles of a triangle add up to 180 degrees. Therefore, 25 + 90 + C = 180.
5. That means that C = 65 in that example.
6. Since B will always be greater than 90, C will always be less than 65.
7. A, B, C, and D all fit the bill!

Cool tip:
The sum of the internal angles of any figure is equal to (n-2)*180 where n is the number of sides in the figure. This can be used when the problem involves figures other than a triangle.