Question

Find an angle which is half its supplement.

Answer 1

let the angle be x
x=1\2(180-x)
x=90-1\2x
x+1\2x=90
3\2x=90
x=(90*2)\3
x= 30*2
x=60 degree

Answer 2

Answer:

60°

Step-by-step explanation:

Let the angle be x

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

So, Supplement angle of x = 180-x

Now we are given that the angle is half its supplement.

$x = \frac{1}{2}(180-x)$

$2x =180-x$

$2x+x =180$

$3x =180$

$x = \frac{180}{3}$

$x =60$

Hence the angle is 60°