Question

Two angles are supplementary.If one of them is one third of the other,find the angles.

Answer 1

Let the angle be x

So, its supplementary angle will be x / 3

Sum of supplementary angles is 180°

According to the given condition

x + x / 3 = 180

☛ 3x + x/3 = 180

☛ 4x/3 = 180

☛ x = 180 × 3/4

☛ x = 135

∴ The angle ☛ x

☛ $\boxed{\boxed{\tt{135^{\circ}}}}$

∴ The supplementary angle

☛ 135/3

☛ $\boxed{\boxed{\tt{45^{\circ}}}}$

Answer 2

$\underline{\mathfrak{\huge{The\:Question:}}}$

Two angles are supplementary. If one of them is one third of the other, find the angles.

$\underline{\mathfrak{\huge{Your\:Answer:}}}$

Let one angle be = x

The other angle will be = $\sf{\frac{1}{3}x}$

$\underline{\tt{Supplementary\:Angles:}}$ The angles which have their sum equal to 180° are called supplementary angles.

According to the information :

$\sf{x + \frac{1}{3}x =180}$

Solve it further

=》 $\sf{\frac{3x + x}{3} = 180}$

Some more steps to go

=》 $\sf{4x = 540}$

Divide 540 by 4

=》$\sf{x = \frac{540}{4}}$

Last one step for the answer

=》 x = 135°

Now, the other angle = $\sf{\frac{135}{3}}$

=》 45°