Question

7. Two supplementary angles are in the ratio of 2 : 7, find the angles.​

Answer 1

Answer:

let the ratio be 2x and 7x

the angles are supplementary

2x + 7x=180

9x=180

x= 180/9

x= 20

here is your answer

Answer 2

SOLUTION:

Supplementary angle means it is making 180° angle

So, Let the common ratio be x as 2x & 7x

=> 2x + 7x = 180°

=> 9x = 180°

=> $x = \frac{180°}{9}$

=> x = 20°

Hence, x = 20°

Putting the value of x in the ratio

=> 2x = 2(20) = 40°

=> 7x = 7(20) = 140°

So the required answer is 40° & 140°

Let's check our solution, if it's correct or not

Let's add the angles to see if it's making 180° or not

=> 40° + 140°

=> 180°

Hence, verified ✔️