Question

Two suppplementary angles are in the ratio 7 : 11 . Find the angles​

Answer 1

supplementary angles have the sum as 180°.

let us consider the angles as 7x,11x

7x+11x = 180°

18x = 180°

x = 10°

then the angles are 70° and 110°.

Answer 2

Step-by-step explanation:

Let the angles be x

Therefore the two angles will be 7x and 11x

Now we know that,

the sum of the measures of two angles is 180° , then the angles are supplementary.

7x + 11x = 180°

18x = 180°

x = 10°

Now substitute x = 10°

Therefore,

1st angle = 7x

= 7× 10

= 70°

2nd angle = 11x

= 11× 10

= 110°

Therefore, the two supplementary angles are 70° and 110°