Can a triangle have all angles less than 60°? Give reason for your answer

Solution:

We have to determine if a triangle can have all angles less than 60°

We know that the sum of all three interior angles of a triangle is always equal to 180 degrees

Let us consider a triangle ABC.

Given, all angles are less than 60°

So, ∠A + ∠B + ∠C is less than 180°

Therefore, a triangle cannot be formed when all the angles are less than 60°

✦ Try This: Can a triangle have all angles less than 50°? Give reason for your answer.

We have to determine if a triangle can have all angles less than 50°

We know that the sum of all three interior angles of a triangle is always equal to 180 degrees

Let us consider a triangle ABC.

Given, all angles are less than 50°

So, ∠A + ∠B + ∠C is less than 180°

Therefore, a triangle cannot be formed when all the angles are less than 50°

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 6

NCERT Exemplar Class 9 Maths Exercise 6.2 Problem 2

Can a triangle have all angles less than 60°? Give reason for your answer

Summary:

We know that the sum of all three interior angles of a triangle is equal to 180°. A triangle cannot be formed if all the angles are less than 60°

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