If the angles in a triangle are in the ratio 2: 3: 4 then find the measure of each angle.

Given: Ratio of angles = 2 : 3: 4

To find: We have to find the measure of each angle.

Solution: 

Let the common factor be = a

So,

1st angle = 2a

2nd angle = 3a

3rd angle = 4a

Now,

2a + 3a + 4a = 180^o    (Sum of all angles of triangle)

9a = 180^o 

a = $\frac{180^{0}}{9}$

a = 20^o

Therefore,

1st angle = 2a = 2 x 20 = 40^o 

2nd angle = 3a = 3 x 20 = 60^o 

3rd angle = 4a = 4 x 20 = 80^o

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Updated on: 10-Oct-2022

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