Question

if an angle is one-third of its supplement,then the measure of the angle is a→ 43° b→46° c→ -45° d← 45°​

Answer 1

$\color{purple} \mathcal{ \colorbox{orange}{\colorbox{white}{♣Solution~-}}}$

$\large{\sf{Let ~angle ~be \frac{x}{3},then ~its ~supplementary ~will ~be~ x}}$

$\large{\sf{x~+~\frac{x}{3}~=~\frac{4}{3}x }}$

(4/3)x = 180

$\large{\sf{x~=~135°}}$

$\large{\sf{Angle~=~\frac{135}{3}}}$

$\large\blue{\sf{Measure~of~angle~=~45°}}$

${\sf\bold{opt.~d}}$