Question

There are two supplementary angles have the ratio 2.7 find the angles

Answer 1

$\huge\sf\underline{\underline{\pink{ Answer:-}}}$

first angle => 40°

second angle => 140°

$\Large{\underline{\underline{\bf{QuEsTiOn:-}}}}$

There are two supplementary angles have the ratio 2.7 find the angles?

$\sf\underline{\underline{\green{GIVEN \: }}}$

Ratio between two supplementary angle

$= > 2 : 7$

$\sf\underline{\underline{\green{TO \: FIND \: }}}$

find the angles?

$\huge\underline\mathbb{\red S\pink {0} \purple {L} \blue {UT} \orange {1}\green {ON :}}$

Let the angle be 2x and 7x

$\sf\underline{\underline{\pink{We \: know, \: }}}$

The measure of two angles of supplementary angles is 180°.

$\sf\underline{\underline{\green{ACCORDING \: TO \: THE \: QUESTION, \: }}}$

$= > 2x + 7x = 180°$

$= > 9x = 180°$

$= > x = \frac{180 {}^{o} }{9}$

$= >x = 20 {}^{o}$

$\sf\underline{\underline{\red{HENCE, \: }}}$

$\sf\underline{\underline{\green{First \: Angle \: }}}$

$= > 2x$

$= > 2 \times 20 {}^{o}$

$= > 40 {}^{o}$

$\sf\underline{\underline{\green{Second \: Angle \: }}}$

$= > 7x$

$= > 7 \: \times 20{}^{o}$

$= > 140 {}^{o}$