Question

Sum of an angle and one third of it's supplementary angles is 90 find measures of angle

Answer 1

$\huge\underline\red{Answer:}$

$\small\underline\green{Let \: the \: angle \: be \: a}$

$\small\underline\green{Supplementary \: angle \: = \: 180 \: - \: a}$

$\small\underline\green{According \: to \: question}$

$\small\underline\green{=> \: a \: + \: \frac{(180 - a)}{3} \: = \: 90}$

$\small\underline\green{=> \: \frac{(3a + 180 - a)}{3} \: = \: 90}$

$\small\underline\green{ => \: 2a \: + \: 180 \: = \: 270}$

$\small\underline\green{=> \: 2a \: = \: 90}$

$\small\underline\green{=> \: a \: = \: 45°}$

$\small\underline\green{Required \: angle \: = \: 45°}$

$\huge\underline\red{Explanation:}$

$\small\underline\green{Hope \: this \: answer \: will \: help \: you.}$

$\small\underline\green{Plz \: mark \: me \: as \: a \: Brainliest.}$