Question

The difference between the supplement of an angle and the angle is ${36}^{\circ }$. The supplement is:

• A. ${72}^{\circ }$
• B. ${108}^{\circ }$
• C. ${63}^{\circ }$
• D. ${27}^{\circ }$

Answer 1

The correct option is B ${108}^{\circ }$

Let the supplement be $x$

Sum of supplementary angles is ${180}^{\circ }$

$\therefore x+{36}^{\circ }={180}^{\circ }\Rightarrow x={144}^{\circ }$

Difference between supplement and given angle $={144}^{\circ }-{36}^{\circ }={108}^{\circ }$