Question

Problems based on geometry
The angles of a triangle are in the ratio 3:5:7. Find the measures of the three angles.​

Answer 1

Answer:

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Step-by-step explanation:

let angle one be 3x

angle two be 5x

and angle 3 be 7x

sum of all angles of a traingle= 180⁰

3x+5x+7x = 180⁰

15x = 180⁰

x= 180/15

x= 12

angle one is 3×x= 36⁰

angle two is 5×x= 60⁰

angle three is 7×x= 84⁰

36⁰+60⁰+84⁰=180⁰

hence proved,

Answer 2

Answer:

let the three angles of the given triangle be :

3x , 5x and 7x . then ,

according angle sum property of triangle,

3x + 5x + 7x = 180°

15x = 180°

x = 180/15

x = 12

thus , the three angles of triangle will be :

3x = 3×12 = 36°

5x = 5×12 = 60°

7x = 7×12 = 84°

hope it helps u...have great time