Question

two supplimentry angles are such that one is two-third of another. find them

Answer 1

Let x and y be the two angles

They are supplement means x+y=180

∘

Now one angle is two third of another which

means x=2y/3

putting in to equation

2y/3 +y=180

∘

⇒

2y+3y/3=180

∘

⇒5y=180×3

⇒y= 180×3/5

⇒y=108

y=108

x= 2y/3

=

2⋅108/3

=72

∴x=72 and y=108.

Answer 2

Answer:

Let one angle be x, so other one is 2/3 of x

So,

$x + x\times \frac{2}{3} = 180 \\ x( \frac{3 + 2}{3}) = 180 \\ x = 180 \times \frac{3}{5} \\ x = 108$

So x= 108°

2/3 of x= 72°