Question

Ratio of angles of an triangle are 3:7:8 . Find the angles of triangles​

Answer 1

Hello...♡

Good morning

Given:-

• Ratio of angle of traingle is 3:7:8

To Find:-

• Angle of triangle=?

Find:-

Let the angle be x

Then all the angle will be 3x,7x,8x

We know that ,the sum of all angle of triangle is 180

3x+7x+8x=180

18x=180

x=10

Now angle will be30,70,80...

Hope its help uh...❤

Answer 2

Given:

• $\sf{Ratio\:of\:angles\:=\:3:7:8 }$

To Find:

• Angles of Triangle

Formula Used:

• Sum of angles of Triangle = 180°

Solution:

$\sf{Let \:the\:angles\:=\:3x,7x,8x}$

$\sf{A.T.Q }$

$\sf{Sum\:of\:angles\:=\:180}$

$\mapsto\sf{3x+7x+8x\:=\:180°}$

$\mapsto\sf{18x\:=\:180}$

$\mapsto\sf{x\:=\:\dfrac{180}{18}}$

$\mapsto\sf{x\:=\:\dfrac{\cancel{180}}{\cancel{18}}}$

$\mapsto\sf{x\:=\:10}$

$\sf{First\:Angle}$

➥$\sf{3x\:=\:3\times10\:=\: }$ 30°

$\sf{Second\:Angle }$

➥$\sf{7x\:=\:7\times10\:=\: }$ 70°

$\sf{Third\:angle }$

➥$\sf{8x\:=\:8\times10\:=\: }$ 80°

$\sf{ }$

$\sf{So,\:Angles\:of\:triangle\:are}$

$\sf{ \boxed{ \boxed{30°,70°,80°}}}$