NCERT Solutions for Class 7 Maths Chapter 6 Exercise 6.2

NCERT Solutions for Class 7 Maths Chapter 6 Exercise 6.2 (Ex. 6.2) Triangles and its Properties in English and Hindi Medium free to download for offline use. All the contents and solutions are updated according to latest CBSE Syllabus 2021-2022.

Questions are taken from new NCERT books to make our contents up to date. Videos related to exercise 6.2 is also given, which is equally helpful for the children to understand the concepts.

Class 7 Maths Chapter 6 Exercise 6.2 Solution




Class: 7Mathematics
Chapter: 6Triangles and its Properties
Exercise: 6.2NCERT Book’s Solution

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Class 7 Maths Chapter 6 Exercise 6.2 Solution in Videos




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Naming Triangles by Considering Their Angles

(i) Acute Triangle:

A triangle each of whose angles measures less than 90° is called an acute triangle.

(ii) Right Triangle:

A triangle one of whose angles measures 90° is called a right triangle.

(iii) Obtuse Triangle:

A triangle one of whose angles measures more than 90° is called an obtuse triangle.

Some Results on Triangles

(i) Each angle of an equilateral triangle is 60°.
(ii) The angles opposite to equal sides of an isosceles triangle are equal.
(iii)A scalene triangle has no two angles equal.



Angle Sum Property of a Triangle

(i) a triangle cannot have more than one right angle
(ii) a triangle cannot have more than one obtuse angle
(iii) in a right triangle, the sum of the two acute angles is 90°.

Class 7 Maths Exercise 6.2 Extra Questions

In a triangle ABC, ∠A = 35° and ∠B = 65°, find the measure of ∠C.

We know that the sum of the angles of a triangle is 180°.
So, ∠A + ∠B + ∠C = 180°
∠ 35° + 65° + ∠C = 180°
Or, 100° + ∠C = 180°
Or, ∠C = 180° – 100° = 80°.
Hence, the measure of ∠C is 80°.

Two angles of a triangle are equal and the third angle measures 70°. Find the measure of each of the unknown angles.

Let the measure of each unknown angles be x°.
We know that the sum of the angles of a triangle is 180°.
So, x + x + 70 = 180
Or, 2x = (180 – 70)
Or, 2x = 110
Or, x = 55.
Hence, each unknown angles is 55°

Exterior and Interior Opposite Angles

Since an exterior angle of a triangle is equal to the sum of the interior opposite angles, it follows that an exterior angle is greater than each one of the interior opposite angles.

Class 7 Maths Exercise 6.2 Important Questions

How are the interior and exterior angles of a triangle related?

The sum of the interior angles of a triangle is always 180 degrees. The exterior angle is the angle between any side of a shape, and a line extended from the next side. The sum of an exterior angle and its adjacent interior angle is also 180 degrees.

How many exterior angles does a triangle have?

Every triangle has 6 exterior angles, two at each vertex. Angles 1 through 6 are exterior angles. Notice that the “outside” angles that are “vertical” to the angles inside the triangle are NOT called exterior angles of a triangle.

Can you have a triangle with two right angles?

No, a triangle can never have 2 right angles. A triangle has exactly 3 sides and the sum of interior angles sum up to 180°. Thus, it is not possible to have a triangle with 2 right angles.

NCERT Solutions for Class 7 Maths Chapter 6 Triangle and its Properties Exercise 6.2
7 Maths Chapter 6 Exercise 6.2