Question

Find the angles of a triangle which are in a ratio 1:2:6​

Answer 1

Answer:

1:2:6 => 20,40,120

Step-by-step explanation:

Let Common ratio=x

Then Multiply the ratios with x

1x,2x,6x

Then Using Angle Sum Property of Triangle

1x+2x+6x=180

9x=180

Take 9 on RHS

x=180/9

x=20

Multiply 20 with the ratios

1x => 1 X 20 => 20

2x => 2X20 => 40

6x => 6X20 => 120

Answer 2

$\large\underline{ \underline{ \sf \: Solution : \: \: \: }}$

Let ,

$\star$The required angles be x , 2x and 6x

Now ,

$\implies \sf x + 2x + 6x = 180 \: ( \because angle \: sum \: property ) \\ \\\implies \sf</p><p></p><p>9x = 180 \\ \\ \implies \sf x = \frac{180}{9} \\ \\ \implies \sf</p><p>x = 20$

$\therefore$The required angles are 20 , 40 and 120