Question

If angles of a triangle are in the rato 4:5:6, then greatest angle of a triangle is: *​

Answer 1

Let the angles of triangle be 4x, 5x and 6x

4x + 5x + 6x = 180

15x=180

x=180/15

x=12

then, the three angles are:

4x= 48

5x= 60

6x= 72

Hence, greater angle of the triangle is 72 degree.

Answer 2

Answer:

Greatest angle of triangle is = $72^o$

Step-by-step explanation:

$\pink{\ggg}\red{\underline{Question:-}}$

If angles of a triangle are in the ratio 4:5:6, Then find the  greatest angle of a triangle?

$\pink{\ggg}\red{\underline{Solution:-}}$

They given,

Ratio of angles of triangle = 4:5:6

Let the angle be = $x$

The the angles will be = $4x,5x,6x$

We know that,

$\bold{Sum\:of\:angles\:of\:triangle = 180^o}$

$\Rightarrow 4x+5x+6x = 180$

$\Rightarrow 15x = 180$

$\Rightarrow x = \frac{180}{15}$

$\Rightarrow x = 12$

$\orange{:\longmapsto}\red{\boxed{x=12}}$

$\bold{Angle\:of\:4x = 4(12) = 48^o}$

$\bold{Angle\:of\:5x = 5(12) = 60^o}$

$\bold{Angle\:of\:6x = 6(12) = 72^o}$

Greatest angle of triangle is = $72^o$