Question

the angles of triangle are in the ratio 2:3:4 find the measure of each angle in a traingle​

Answer 1

$\bold{\red{Angle\ of\ triangle\ are\ in\ ratio\ 2:3:4}}$

Let angle of triangle are 2x,3x,&4x then

${2x+3x+4x=180°}$$\fcolorbox{aqua}{lime}{angle sum property}$

$\bold{ 9x=180°}$⁣

$\bold{x=20°}$⁣

The measure of each angles will be,

• 2x = 2 × 20 = 40°.
• 3x = 3 × 20 = 60°.
• 4x = 4 × 20 = 80°.

$\bold{20°,40°,60°\ are \ the\ angled\ triangles.}$

hope it helps ☺️☺️

Answer 2

AnswEr :

• The measure of each angle of a triangle is 40°, 60°, and 80° respectively.

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Explanation :

We are given with the angles of a triangle but it has been given in the form of ratio, that is,

• 2 : 3 : 4.

We have to find out the measure of each angle of a triangle$.$

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Now,

Let us assume that, the measure of each angles is 2x, 3x and 4x respectively.

We know that, if we are given with the three angles of a triangle we have the required formula, that is,

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→ The sum of all three angles of a triangle is 180°. This statement is known as 'angle sum property of triangle'.

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Substituting the given values in the formula,

⇒ 2x + 3x + 4x = 180

⇒ 5x + 4x = 180

⇒ 9x = 180

⇒ x = 180/9

⇒ x = 20

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Therefore,

The measure of each angles will be,

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• 2x = 2 × 20 = 40°.

• 3x = 3 × 20 = 60°.

• 4x = 4 × 20 = 80°.

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Hence, the measure of each angle of a triangle is 40°, 60°, and 80° respectively.