Can a triangle have two obtuse angles? Give reason for your answer
Solution:
We have to determine if a triangle can be formed with two obtuse angles.
An obtuse angle is an angle that measures more than 90 degrees and less than 180 degrees.
We know that the sum of all three interior angles of a triangle is equal to 180°
Obtuse angles are greater than 90°
When two angles of a triangle are obtuse the sum of the angles will be greater than 180°
Therefore, a triangle cannot be formed when the two angles are obtuse.
✦ Try This: Can a triangle have two right angles? Give reason for your answer.
A right angle is an angle that measures exactly 90 degrees.
We know that the sum of all three interior angles of a triangle is equal to 180°
Two right angles = 2(90°) = 180°
When two angles of a triangle are right angles, the sum of the angles will be greater than 180°
Therefore, a triangle cannot be formed when the two angles are right angles.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 6
NCERT Exemplar Class 9 Maths Exercise 6.2 Problem 3
Can a triangle have two obtuse angles? Give reason for your answer
Summary:
An obtuse angle is an angle greater than 90 degrees and less than 180 degrees. So a triangle cannot be formed when two angles are obtuse angles
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