# Five times the complement of an angle less twice the angle's supplement is 450. How do you find the the measure of the supplement?

Aug 20, 2017

#### Explanation:

Suppose that, the reqd. measure of the angle is $x .$

Then, its Complement measures $\left(90 - x\right) ,$ whereas, the

Supplement, $\left(180 - x\right) .$

By what is given, we have,

$5 \left(90 - x\right) - 2 \left(180 - x\right) = 450.$

$\therefore \cancel{450} - 5 x - 360 + 2 x = \cancel{450.}$

$\therefore - 3 x = 360 , \mathmr{and} , x = - 120 ,$ which is not possible, as $x$ can

not be $- v e .$