It is possible to have a triangle in which each angle is greater than 60°. State whether the statement is true or false.

Solution:

Given, it is possible to have a triangle in which each angle is greater than 60°.

We have to determine if the given statement is true or false.

Consider the angles of a triangle greater than 60 degrees.

Consider a triangle ABC,

Let ∠A = 70°, ∠B = 80° and ∠C = 85°

Sum of the angles = ∠A + ∠B + ∠C

= 70° + 80° + 85°

= 70° + 165°

= 235°

According to the angle sum property of a triangle, the sum of all three interior angles of a triangle is 180 degrees.

We observe that 235 degrees is greater than 180 degrees.

The sum of interior angles of a triangle cannot be greater than 180 degrees.

Therefore, a triangle cannot have each angle greater than 60 degrees.

✦ Try This: It is possible to have a triangle in which each angle is greater than 70°. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

NCERT Exemplar Class 7 Maths Chapter 6 Problem 82

It is possible to have a triangle in which each angle is greater than 60°. State whether the statement is true or false.

Summary:

The given statement,”It is possible to have a triangle in which each angle is greater than 60°” is false.

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