Question

Two supplementary angles differ by ${48}^o$. Find the angles.

Answer 1

Let $\alpha$ & $\beta$ be the angles.

Given $\alpha +\beta ={180}^{\circ }$

$\alpha -\beta ={48}^{\circ }$

Adding them $2\alpha ={228}^{\circ }$

$\alpha ={114}^{\circ }$

$\therefore$ $\beta ={66}^{\circ }$