Question

For two parallel lines and a transversal, $\angle 1={74}^o$. For which pair of angle measures is the sum the least?

• A. $\angle 1$ and a corresponding angle
• B. $\angle 1$ and the corresponding co-interior angle
• C. $\angle 1$ and its supplement
• D. $\angle 1$ and its complement

Answer 1

The correct option is D $\angle 1$ and its complement

$\angle 1+corr.\angle ={74}^o+{74}^o={148}^o$
$\angle 1+$corr.co-int. $\angle ={180}^o$
$\angle 1+$its supplement $\angle ={180}^o$
$\angle 1+$its complement $\angle ={90}^o$
Hence option (d) is correct