Question

The measure of the supplement of an angle is 5times of it's complement.then the measurement of the complement is what.

Answer 1

Answer:

   The complement is 22.5°

Step-by-step explanation:

Let u be the angle referred to.

Its supplement is 180° - u.

Its complement is 90° - u.

So...

 "The measure of the supplement ... is 5 times the complement"

⇒ 180° - u = 5 × ( 90° - u )

⇒ 180° - u = 450° - 5u

⇒ -u + 5u = 450° - 180°

⇒ 4u = 270°

⇒ u = 270°/4 = 67.5°

The complement is then

 90° - u  =  90° - 67.5°  =  22.5°

Hope this helps