Mathematics
If the sum of two angles is greater than 180°, then which of the following is not possible?
two obtuse angles
two right angles
one obtuse and one acute angle
one reflex and one acute angle
Lines & Angles
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Answer
Two obtuse angles (each > 90°): sum > 180° — possible.
Two right angles: 90° + 90° = 180° (not greater than 180°) — not possible.
Obtuse (e.g., 120°) + acute (e.g., 70°) = 190° > 180° — possible.
Reflex angle (> 180°) + acute angle: sum > 180° always — possible.
Hence, option 2 is the correct option.
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