Question

The measures of the angels of a triangle are 1:2:3. Find the angels

Answer 1

Step-by-step explanation:

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Answer 2

Given :

• The measures of the angels of a triangle are 1:2:3.

To find :

• The angles =?

Step-by-step explanation:

The measures of the angels of a triangle are 1:2:3. [Given]

Let, The measures of the angels of a triangle are 1x, 2x and 3x.

We know that,

In a triangle sum of all angles = 180°

So,

∠A + ∠B + ∠C = 180°

Substituting the values, we get,

1x + 2x + 3x = 180

6x = 180

x = 180/6

x = 30.

Therefore, We know that the value of x = 30°.

Hence,

∠A = 1 x = 1 × 30° = 30°

∠B = 2x = 2 × 30° = 60°

∠C = 3x = 3 × 30° = 90°

Verification :

As we know that,

In a triangle sum of all angles = 180°

So,

∠A + ∠B + ∠C = 180°

Substituting the values, we get,

30° + 60° + 90° = 180°

180° = 180°

L. H. S = R. H. S

Hence, it is verified.