Question

an angle is 5 times its supplement.find the an​

Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

FORMULA TO BE IMPLEMENTED

Two angle

$\alpha \: \: and \: \: \beta$

are said to be supplementary angle if

$\alpha + \beta = {180}^{ \circ}$

GIVEN

An angle is 5 times its supplement

TO DETERMINE

The angle

CALCULATION

Let

$\alpha$

be the one angle

Then another angle is

$5 \alpha$

So

$\alpha + 5 \alpha = {180}^{ \circ}$

$\implies \: 6 \alpha = {180}^{ \circ}$

$\implies \: \alpha = {30}^{ \circ}$

RESULT

$\red{\boxed{So \: the \: required \: angle \: is \: {30}^{ \circ} }}$