Question

the supplement of an angle is one third of itself. determine the angle and its supplement

Answer 1

Hope this helps you
this answer will be right

Answer 2

Let the angle be x and its suppliment be 1x÷3.

ATQ,

$x+\frac 13x = 180$

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

$\implies \frac{4x} 3 = 180$

$\implies x = \frac {180 \times 3}4$

$\implies x = 135$

Since, x = 135,

The angle is $x = 135$ and it's suppliment is $\frac {1}3 \times x = \frac {1}3 \times 135 = 45$.........

You may check it..........

$135 + 45 = 180$

Hence, angle = 135° and suppliment = 45°