Question

The difference between the complementary and supplementary angles of ${70}^o$ is:

• A. ${60}^o$
• B. ${70}^o$
• C. ${80}^o$
• D. ${90}^o$

Answer 1

Answer: (D)

${90}^o$

Let the supplement be $x$

$\Rightarrow x+{70}^{\circ }={180}^{\circ }\Rightarrow x={180}^{\circ }-{70}^{\circ }={110}^{\circ }$

Let the complement be $y$

$\Rightarrow y+{70}^{\circ }={90}^{\circ }\Rightarrow y={90}^{\circ }-{70}^{\circ }={20}^{\circ }$

Difference between supplememnt and complement $=x-y$

$={110}^{\circ }-{20}^{\circ }={90}^{\circ }$

So option $D$ is correct.