Question

The ratio of the measures of the three angles of a triangle is 2 : 3 : 4.
The measure of the largest angle is​

Answer 1

let the angle be 2x,3x, and 4x

A.T.Q

180 = 2x+3x+4x

180= 9x

x= 20

the largest angle is 80°

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Answer 2

Solution:-

=> The angels of triangle are in the ratio of 2 : 3 : 4

Now

=> Let the angle triangle are 2x , 3x , 4x

Using Angles sum property

=> Sum of all three angle of triangle is 180⁰

Applying this property

=> 2x + 3x + 4x = 180⁰

=> 5x + 4x = 180⁰

=> 9x = 180⁰

=> x = 180⁰/9

=> x = 20⁰

Now we get

=>∠1 = 2 × 20⁰ = 40⁰

=> ∠2 = 3 × 20⁰ = 60⁰

=> ∠3 = 4 × 20⁰ = 80⁰

We have to find

=> The largest angle is 80⁰

Answer

=> 80⁰