Question

the angles of a triangle are in the ratio 1:4:7

Answer 1

Answer:

let angle be 1x, 4x, 7x

we know that,

sum of all angles of a triangle is 180 , then

1x+4x+7x=180

12x=180

x=15

then the angles are 15,60,105

Answer 2

let angle 1 is = X

angle 2 = 4 x

angle 3 = 7x

since we know that the sum of triangle is 180 degree

angle 1 + angle 2 + angle 3 = 180 °

X + 4 x + 7 x = 180 °

12x = 180 °

x =180/12

x = 15

now ,

angle 1 = 15°

angle 2 = 15 × 4 = 60°

angle 3 = 7 × 15 = 105°