If one angle of a triangle is 60° and the other two angles are in the ratio 1 : 2, find the angles.

Solution:

Given, one angle of a triangle is 60°

The other two angles are in the ratio 1 : 2

We have to find the angles.

Let the angle be x.

Since the ratio 2 : 1, the angles are 2x and x.

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,

60° + 2x + x = 180°

60° + 3x = 180°

3x = 180° - 60°

3x = 120°

x = 120°/3

x = 40°

Now, 2x = 2(40°) = 80°

Therefore, the angles are 60°, 80° and 40°

✦ Try This: If one angle of a triangle is 50° and the other two angles are in the ratio 2 : 3, find the angles.

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

NCERT Exemplar Class 7 Maths Chapter 6 Problem 130

If one angle of a triangle is 60° and the other two angles are in the ratio 1 : 2, find the angles.

Summary:

If one angle of a triangle is 60° and the other two angles are in the ratio 1 : 2, the angles are 60°, 80° and 40°.

☛ Related Questions:

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