If two angles of a triangle are 60° each, then the triangle is
a. Isosceles but not equilateral
b. Scalene
c. Equilateral
d. Right-angled

Solution:

Given, the two angles of a triangle are 60° each.

We have to find the type of the triangle.

Consider a triangle ABC,

Let ∠B = 60° and ∠C = 60°

By angle sum property of a triangle,

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

∠A + ∠B + ∠C = 180°

∠A + 60° + 60° = 180°

∠A + 120° = 180°

∠A = 180° - 120°

∠A = 60°

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, ABC is an equilateral triangle.

✦ Try This: If in an isosceles triangle, each of the base angles is 70°. Find the other angle

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

NCERT Exemplar Class 7 Maths Chapter 6 Problem 15

If two angles of a triangle are 60° each, then the triangle is: a. Isosceles but not equilateral, b. Scalene, c. Equilateral, d. Right-angled

Summary:

If two angles of a triangle are 60° each, then the triangle is an equilateral triangle

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