17. Can a triangle have two obtuse angles? Give
reason
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Answer:
No. A triangle cannot have 2 obtuse angles. It can have only 1 obtuse angle
Step-by-step explanation:
Obtuse angle is an angle which is greater than 90°
=> Measure of 1 obtuse angle > 90°
=> Measure of 2 obtuse angles > 2 * 90°
=> Measure of 2 obtuse angles > 180°
Which is not possible in a triangle since sum of all the 3 angles of a triangle = 180° and cannot be more than or less than 180°
Hence there cannot be 2 obtuse angles in a triangle
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