The largest angle of a triangle, if the ratios of its angles are $2 : 3 : 4$ , is:

40

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80

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90

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120

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Solution

The correct option is C $80$

Let the smallest angle be $2 x$ , medium angle $3 x$ and the largest angle be $4 x$
We know that, the sum of the three angles $= 180$

So, $2 x + 3 x + 4 x = 180$
$9 x = 180$

$x = 20$
Therefore, the largest angle, $4 x = 4 \times 20 = 80$ degrees.

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(d) $60^{\circ}$

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Q. Question 8
Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is:

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and the other two angles are in the ratio 3:4. Then the largest angle in the triangle is

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(a) 60°
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The largest angle of a triangle, if the ratios of its angles are 2:3:4, is:

The correct option is C 80 Let the smallest angle be 2x, medium angle 3x and the largest angle be 4xWe know that, the sum of the three angles =180 So, 2x+3x+4x=1809x=180 x=20Therefore, the largest angle, 4x=4×20=80 degrees.

The largest angle of a triangle, if the ratios of its angles are $2 : 3 : 4$ , is:

The correct option is C $80$

Let the smallest angle be $2 x$ , medium angle $3 x$ and the largest angle be $4 x$
We know that, the sum of the three angles $= 180$

So, $2 x + 3 x + 4 x = 180$
$9 x = 180$

$x = 20$
Therefore, the largest angle, $4 x = 4 \times 20 = 80$ degrees.