Question

Are the following pairs of angles supplementary ?
(1) ${139}^{\circ }$ and ${39}^{\circ }$
(2) $26{59}^{\prime }$ and ${153}^{\circ }{1}^{\prime }$

Answer 1

(1) ${139}^{\circ }$ and ${39}^{\circ }$
No, they are not supplementary angles as their sum is not equal to ${180}^o$
${139}^{\circ }+{39}^{\circ }={178}^{\circ }$
(2) $26{59}^{\prime }$ and ${153}^{\circ }{1}^{\prime }$
Yes, they are supplementary angles as their sum = $26{59}^{\prime }+{153}^{\circ }{1}^{\prime }={180}^{\circ }$