Question

The angles of a triangle are in the ratio 3:5:2. Find each angle of the triangle.​

Answer 1

Answer:

The angles are 54° , 90°  and 36° .

Step-by-step explanation:

let the name of the triangle be triangle ABC .   ---( 1)

The angle sum of a triangle = 180 degrees .

ratio can be removed by multiplying a variable to it .

> 3:5:2 = 3x + 5x + 2x

let angle A be 3x , angle B be 5x , angle C be 2x ,now

> 3x + 5x + 2x = 180        [ refer ( 1 ) ]

> 10x = 180

> x = 180/10

> x = 18 .

now , let us find the values of the angle's ,

angle A =  3x   =>  3*18  =>  54

angle B =  5x   =>  5*18  =>  90

angle C =  2x   =>  2*18  =>  36

Therefore the angles are 54° , 90°  and 36° .

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