Question

An angle is equal to two-seventh of its supplement . Find the angles​

Answer 1

Answer:

The given angles are 40 and 140

Step-by-step explanation:

The given angle = (2÷7)×(180-given angle)

Let the given angle be x.

x=(2÷7)×(180-x)

x= 51.42-(2÷7)x

1.285x=51.42

x=39.999

The angle is 39.9999 approx 40

And its supplement is 180-40=140

Answer 2

Answer:

The angle which is two-seventh (2/7) of its supplement is 40°. Its supplement angle is 140°.

Step-by-step explanation:

Supplementary angles, are angles that add to 180°

Let us take to angles x and y in this case. If they are supplementary, then x+y = 180°

Let us use x as the angle that is 2/7 of y

Therefore x = 2/7y

That means, 2/7y + y = 180°

Solve 2/7y + y = 180° to find y

       2/7y + y = 180°

Multiply through the equation with 7 to eliminate the denominator

  7(2/7y + y = 180°)

   2y  + 7y = 1260

    9y = 1260

     y  = 1260/9

     y = 140

Therefore one of the supplement angles is 140°

The other angle is 180° - 140° = 40°

The two supplementary angles are 140° and 40°