Find the angle that is two-third of the complementary angle

Solution:

Lets take the angle as $x$

Complimentary angle of $x \ is \  90 - x$

 $x =  \frac{2}{3} \times (90 - x)$

Bring 3 to the opposite side, and multiply 2 inside the brackets, 

$3 x  =    2 \times (90 - 2) \times x$

$3 x  =  180 - 2 x$

$3 x + 2 x  =  180$

$5 x  =  180$

$x  =  \frac{180}{5}$

$x  =  36$

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Updated on: 10-Oct-2022

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