MHB Act.ge.5 third angle of triangle

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In triangle ABC, with angle A measuring 25° and angle B greater than 90°, angle C must be less than 65° to satisfy the triangle inequality. The possible measures for angle C from the given options are 12°, 15°, 45°, and 50°, as they all fall within the acceptable range. Angle 70° is not a valid choice since it exceeds the maximum limit for angle C. The discussion highlights the importance of understanding angle relationships in triangles. Correctly identifying the possible values for angle C is essential for solving this type of geometry problem.
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$\tiny{act.ge.5}$

ok you have 2 seconds to figure this one out:unsure:

This question has live answer choices. Select all the answer choices that apply. The correct answer to a question of this type could consist of as few as one, or as many as all five of the answer choices.
\item In triangle ABC, the measure of angle A is $25^o$ and the measure of angle B is greater than 90°. Which of the following could be the measure of angle \textbf{C}?
Indicate all possible values.

$
a.\ 12^o
\quad b.\ 15^o
\quad c.\ 45^o
\quad d.\ 50^o
\quad e.\ 70^o $

from observation I choose 4 possible but thot I would see what the replies would be
 
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$A+B > 115 \implies C < 65$
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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