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The angles of a triangle are in the ratio 2 : 3 : 5. Find the angles.

Solution:

Given, the measure of three angles of a triangle are in the ratio 2 : 3 : 5

We have to find the measures of the angles.

Let the angles be 2x, 3x and 5x.

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

2x + 3x + 5x = 180°

5x + 5x = 180°

10x = 180°

x = 180°/10

x = 18°

So, 5x = 5(18°) = 90°

3x = 3(18°) = 54°

2x = 2(18°) = 36°

Therefore, the angles are 36°, 54° and 90°.

✦ Try This: The angles of a triangle are in the ratio 1 : 2 : 3. Find the angles.

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

NCERT Exemplar Class 7 Maths Chapter 6 Problem 122

Summary:

The angles of a triangle are in the ratio 2 : 3 : 5. The angles are 36°, 54° and 90°.

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