Question

Find it's supplement
1/3 of a complement​

Answer 1

$Let\ the\ required\ angle\ be\ x.$

$We \ know\ that \ the \ complement\ can\ be \ written\ as \ 90 - x\ and \\\ the \ supplement \ can \ be \ written \ as \ 180 - x$

$90 - x =$ $\frac{1}{3}$ $180 - x$

$x - \frac{1}{3} x = 90 - 60$

$\frac{2}{3} x = 30$

$x = \frac{30*3}{2} = \frac{90}{2}= 45$°

$Therefore\ the\ measure\ of\ an\ angle\ which\ is\ one\ third\ of\ its\ supplement \ is \ 45$°

$hope \ it \ helps \ !!$