Question

If three angles of a triangle are in the ratio 1 : 2 : 6 ,find the greatest and smallest angles.

3​

Answer 1

Answer:

120 ( 6x) is greatest angle

and

20 ( 1x) is smallest angle

Step-by-step explanation:

let take all the angels be x

therefore, 1x + 2x+ 6x = 180( as all the angles of a ∆ is 180°)

9x = 180

x= 180 / 9

x = 20°

put the value of x in respective angles

therefore, 1x= 1 x 20 = 20

2x= 2 x 20 = 40

6x = 6 x 20 = 120

hence, 120 ( 6x) is greatest angle

and

20 ( 1x) is smallest angle