Question

The angles of a traingle are in the ratio 2:3:4. Find the measure of all the angles of a triangle​

Answer 1

Answer:

If the angles of a triangle are in the ratio of... 2 :3 :4 then we can divide the Total Degrees of the Triangle i.e 180 degrees in that order as below : 2+3+4 = 9 Parts of 180 is … 180/9 = 20 degrees.

Answer 2

See the attached photo ↗

Solution :

$\longrightarrow$ As we know,

$\longrightarrow$ ∆ABC whole triangle has 180°.

$\longrightarrow$ And Ratio of angles = 2 : 3 : 4

$\longrightarrow$ Angles = 2x , 3x , 4x

• $\sf \angle A = 2x$

• $\sf \angle B = 3x$

• $\sf \angle C = 4x$

$\sf ∆ABC = \angle A + \angle B + \angle C$

$\sf 180° = 2x + 3x + 4x$

$\sf 180° = 9x$

$\sf x = \frac{180°}{9}$

$\sf x = \frac{\cancel{180°}^{\: \: 20}}{\cancel9}$

$\sf \underline{\underline{x = 20}}$

Now,

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Angles Of Triangle

• $\sf \angle A = 2x$
• $\sf \angle A = 2(20)$
• $\sf \boxed{∠A = 40°}$

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• $\sf \angle B = 3x$
• $\sf \angle B = 3(20)$
• $\sf \boxed{∠B = 60° }$

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• $\sf \angle C = 4x$
• $\sf \angle C = 4(20)$
• $\sf \boxed{∠C = 80°}$

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I hope it helps you ❤️✔️