Question

If two supplementary angles differ by ${44}^o$, then one of the angles is ___________.

• A. ${102}^o$
• B. ${65}^o$
• C. ${112}^o$
• D. ${72}^o$

Answer 1

The correct option is C ${112}^o$

Two supplementary angles differ by ${44}^o$

$\therefore$ $x+(x+{44}^o)={180}^o$

$2x={136}^o$

$x={68}^o$

Other angle =$(x+{44}^o)=({68}^o+{44}^o)={112}^o$