A day full of math games & activities. Find one near you.

If two angles of a triangle are equal, the third angle is also equal to each of the other two angles. State whether the statement is true or false.

Solution:

Given, if two angles of a triangle are equal, the third angle is also equal to each of the other two angles.

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

Consider a triangle ABC,

Let ∠A = ∠B = 70°

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

So, ∠A + ∠B + ∠C = 180°

70° + 70° + ∠C = 180°

140° + ∠C = 180°

∠C = 180° - 140°

∠C = 40°

We observe that ∠A = ∠B ≠ ∠C

Therefore, in an isosceles triangle two angles are equal but the third angle is not equal.

✦ Try This: If two sides of a triangle are equal, the third side is also equal to each of the other two sides. 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 85

If two angles of a triangle are equal, the third angle is also equal to each of the other two angles. State whether the statement is true or false.

Summary:

The given statement,”If two angles of a triangle are equal, the third angle is also equal to each of the other two angles” is false.

☛ Related Questions: