Question

Find the angle whose supplement is six times its complement

Answer 1

6 (90-x)=180-x
540-6x=180-x
-5x=180-540
5x=360
x=72

Answer 2

Answer:

72°

Step-by-step explanation:

Let the angle be x

Complement angle : A pair of angles whose sum is 90°

So, complement of x = 90-x

Supplement angle  =  A pair of angles whose sum is 180°

So, Supplement of x = 180-x

Now we are given that  supplement of x is six times its complement

So, $180-x=6(90-x)$

$180-x=540-6x$

$6x-x=540-180$

$5x=360$

$x=72$

Thus the angle whose supplement is six times its complement is 72°