Geometry

Question Analysis:
This question involves applying indirect proof to angle properties in triangles.
The main focus is on recognizing which assumption leads to a contradiction using known angle theorems.

Key Concept Explanation:
An indirect proof assumes the opposite of the conclusion and seeks a contradiction.
In any triangle, the sum of the interior angles is always 180°.
An obtuse angle is greater than 90°, so having two would violate this rule.

Step-by-Step Solution:
The statement to prove: A triangle cannot have more than one obtuse angle.
Indirect proof begins by assuming the opposite: The triangle has two obtuse angles.
Each obtuse angle is greater than 90°, so their sum would be > 180°.
A triangle cannot have angles summing to more than 180° — contradiction.
Therefore, the assumption must be false, and the original statement is true.

Option Analysis:
A. Opposes the possibility of any obtuse angle — irrelevant to the cla...