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

Solution:

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

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

Consider a triangle ABC,

According to the equesiton,

∠A = 60°, ∠B = 60° and ∠C = 60°

Sum of the angles = ∠A + ∠B + ∠C

= 60° + 60° + 60°

= 120° + 60°

= 180°

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

An equilateral triangle is a triangle that has all its sides equal in length.

The three angles of the equilateral triangle are congruent and equal to 60 degrees.

Therefore, a triangle can have each angle equal to 60 degrees.

✦ Try This: It is possible to have a triangle in which each angle is equal to 80°. 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 83

It is possible to have a triangle in which each angle is equal to 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 equal to 60°” is true.

☛ Related Questions:

• A right-angled triangle may have all sides equal. State whether the statement is true or false.
• If two angles of a triangle are equal, the third angle is also equal to each of the other two angles . . . .
• In Fig. 6.28, two triangles are congruent by RHS. State whether the statement is true or false.