Question

Write the angle which 5 one fifth of its complement.

Answer 1

Answer:

$one \: angle = 15 \degree$

$Complementary \: angle =75\degree$

Step-by-step explanation:

Complementary angles:

Sum of any two angles equal to 90° is called complementary angles.

Complement of x° is ( 90 - x )° .

According to the problem given,

$Let \: one \: angle = x\degree$

$Complementary \: angle = 90-x$

$x = \frac{ 90-x}{5}$

$\implies 5x = 90 - x$

$\implies 5x+x = 90$

$\implies 6x = 90$

$\implies x = \frac{90}{6}=15$

Therefore,

$one \: angle = x\degree = 15 \degree$

$Complementary \: angle = 90-x=90-15=75\degree$

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