Question

Two supplematare angles are in ratio 2:7 find the angle

Answer 1

$\huge\mathfrak \pink{Question}$

Two supplematare angles are in ratio $2:7.$ Find the angles.

$\huge\mathfrak \pink{Given}$

• Two supplematare angles are in ratio $2:7.$

$\huge\mathfrak \pink{To\: find}$

The angles.

$\huge\mathfrak \pink{Solution}$

Let the angles are $2x°$ and $7x°.$

We know that:

$\blue{Sum\: of\:two\: supplementary\: angles=180°}$

So,

$2x+7x=180$

$➳9x=180$

$➳x={\frac{180}{9}}$

$➳x=20$

$\huge\mathfrak \pink{Hence}$

$x=20$

$2x°=(2×20)°=40°$

$7x°=(7×20)°=140°$

$\huge\mathfrak \pink{Therefore}$

The angles are $40°$ and $140°$ respectively.

${\huge\mathfrak \pink{Done࿐}}\\{\huge\mathfrak \green{Hope\:this\: helps\:you.}}\\{\huge\mathfrak \orange{Have\:a\: nice\:day.}}$

Answer 2

Answer:

Let the angles be 2x and 7x

Angles are given supplementary

2x+7x=180

∘

9x=180

∘

x=20

∘

So the angles are 2×20

∘

=40

∘

and 7×20

∘

=140

∘