Question

supplement of an angle is one fifth of itself determine the angle and its supplement

Answer 1

Answer:30

Step-by-step explanation:X=1/5(180°-x)

5x=180°-x

6x=180°

X=30°

Answer 2

Answer:

$Required \: angles \: are :\\One \:angle = x = 30\degree \\Second \: angle =150$

Step-by-step explanation:

Supplementary angles:

Sum of any two angles equal to 180° is called supplementary angles.

$Let \: one \: angle = x \degree \\second \: angle = (180-x) \degree$

/* According to the problem given */

$x = \frac{1}{5} ( 180-x)$

$\implies 5x = 180 - x$

$\implies 5x + x = 180$

$\implies 6x = 180$

$\implies x = \frac{180}{6}$

$\implies x = 30\degree$

Therefore.,

$Required \: angles \: are :\\One \:angle = x = 30\degree \\Second \: angle = 180-x \\= 180-30\\=150$

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