Answer:

Let the angles be 2x, 3x and 4x.

∴ By using angle sum property,

2x + 3x + 4x = 180°

⇒ 9x = 180°

⇒ x = 180°/9 = 20°

So. the angles are 2 x 20°, 3 x 20° and 4 x 20° i.e. 40°, 60° and 80°.
Since all the angles are less than 90°, therefore the triangle is acute angled triangle.

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Verified answer

Answer:

40 ° , 60° , 80°

Step-by-step explanation:

Given that angles of the triangle are in the ration 2 : 3 : 4

Let the angles be 2

x

, 3

x

, 4

x

The sum of angles of a triangle = 180°

Hence we have 2

x + 3

x + 4

x

= 180°

⇒

9

x

= 180°

⇒

x

= 20°

Hence the measures of the angles are 2

×

20 = 40°, 3

×

20 = 60° and 4

×

20 = 80°