The angles of a triangle are arranged in descending order of their magnitudes. If the difference between two consecutive angles is 10°, find the three angles.

Solution:

Given, the angles of a triangle are arranged in descending order of their magnitudes.

The difference between two consecutive angles is 10 degrees.

We have to find the three angles.

Let one angle be x.

Other angles are x - 10° and x - 20°

Angle sum property of a triangle states that the sum of all three interior angles of a triangle is always equal to 180 degrees.

By angle sum property,

x + x - 10° + x - 20° = 180°

3x - 30° = 180°

3x = 180° + 30°

3x = 210°

x = 210°/3

x = 70°

Now, x - 10° = 70° - 10° = 60°

x - 20° = 70° - 20° = 50°

Therefore, the values of three angles are 70°, 60° and 50°.

✦ Try This: The angles of a triangle are arranged in descending order of their magnitudes. If the difference between two consecutive angles is 5°, find the three angles.

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

NCERT Exemplar Class 7 Maths Chapter 6 Problem 127

The angles of a triangle are arranged in descending order of their magnitudes. If the difference between two consecutive angles is 10°, find the three angles.

Summary:

The angles of a triangle are arranged in descending order of their magnitudes. If the difference between two consecutive angles is 10°, the values of three angles are 70°, 60° and 50°.

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