Question

Find the angles which is 2/3 of its supplement.

Answer 1

Answer:

the angles which is 2/3 of its supplement

is 240°

Answer 2

Answer:

To find : the angles which is 2/3 of its supplement.

let x and y be the two angles .

given : they are supplementary  angles

i.e.  x + y = $180^{0}$    -------------------------------(i)

one angle  is supplement to 2/3 of it supplement

let x be 2/3 of angle y

i.e. $x = \frac{2 y }{3}$            -------------------------(ii)

substituting value of x in (i)

$\frac{2y}{3} + y = 180$

$\frac{2y + 3y}{3} = 180$

$5y = 540$

$y = 108^{0}$

now substituting value of y in (ii)

$x =\frac{2 \times 108}{3}$

$x = \frac{216}{3}$

$x = 72^{0}$

thus supplementary angles are   $x = 72^{0}$   and $y = 108^{0}$