Question

The angles of a triangle are in the ratio 5:6:7 find each angle.​

Answer 1

Answer:

50,60,70

Step-by-step explanation:

let the ratio constant be x

so,

5x + 6x + 7x = 180

18x = 180

x =180/18 = 10

so angles are

50,60,70

Answer 2

Answer:

$\small\color{yellow}\boxed{\colorbox{black}{Angle 1 = 50°}}$

$\small\color{yellow}\boxed{\colorbox{black}{Angle 2 = 60°}}$

$\small\color{yellow}\boxed{\colorbox{black}{Angle 3 = 70°}}$

Step-by-step explanation:

Let 1st angle = 5x

Let 2nd angle = 6x

Let 3rd angle = 7x

$5x + 6x + 7x = 180°$

( Angle sum property of ∆ triangle)

$= 18x = 180°$

$x = \frac{180}{18}$

$x = 10$

So, angle 1 = 5x → 5×10 = 50°

angle 2 = 6x → 6×10 = 60°

angle 3 = 7x → 7×10 = 70°

Hope it helps you!