Act.ge.5 third angle of triangle

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The discussion focuses on determining the possible measures of angle C in triangle ABC, where angle A is 25° and angle B exceeds 90°. The correct answer choices for angle C must satisfy the triangle inequality, specifically that the sum of angles A and B must be less than 180°. Given that A + B > 115°, angle C must be less than 65°. The valid answer choices identified are 12°, 15°, 45°, and 50°.

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karush
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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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$A+B > 115 \implies C < 65$
 

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