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The angles of a triangle are in the ratio 2:3:4. Find the angl

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The angles of a triangle are in the ratio $2 : 3 : 4$ . Find the angles.

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The angles of a triangle are in the ratio

2 : 3 : 4

. Find the angles.

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Text solutionVerified

Let us consider the measure of the angles in a triangle as

2 x^{\circ}, 3 x^{\circ}

and

4 x^{\circ}

We know that the sum of all the angles in a triangle is

18 0^{\circ}

So we can write it as

2 x + 3 x + 4 x = 18 0^{\circ}

By addition

9 x = 18 0^{\circ}

By division

x = \frac{180}{9}

x = 20

By substituting the values of

x

2 x^{\circ} = 2 (20) = 4 0^{\circ}

3 x^{\circ} = 3 (20) = 6 0^{\circ}

4 x^{\circ} = 4 (20) = 8 0^{\circ}

Therefore, the angles are

4 0^{\circ}, 6 0^{\circ}

and

8 0^{\circ}

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Question Text	The angles of a triangle are in the ratio $2 : 3 : 4$ . Find the angles.
Answer Type	Text solution:1
Upvotes	150