Question

Q8. Find the angles of a triangle which are in the ratio 1:2:6.​

Answer 1

Let the ratios be 1x , 2x and 6x
Since all the angles of the triangle equal 180 degree
1x + 2x + 6x = 180
9x = 180
X = 180/9
X = 20 degrees
So now replace the ‘x’ with 20
Angle 1= 20
Angle 2 = 40
Angle 3 = 120
Hope it helps :))


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Answer 2

Given: Angles of a triangle are in the ratio 1:2:6

To find: angles of a triangle

Solution: Multiplying by x in the given ratio, we get

            1x:2x:6x

we know that the sum of angles of a triangle is $180^{.}$

so 1x+2x+6x= 180

     9x=180

     x= 20,2x=40 and 6x= 120

hence the angles of the given triangle are 20, 40 and 120