Question

17. Can a triangle have two obtuse angles? Give

reason​

Answer 1

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