Question

Find the measure of the angle whose complement is ${75}^{\circ }$.

• A. ${30}^{\circ }$
• B. ${25}^{\circ }$
• C. ${11}^{\circ }$
• D. ${15}^{\circ }$

Answer 1

The correct option is D

${15}^{\circ }$

Let the angle be $x^{\circ }$.

$x+{75}^{\circ }={90}^{\circ }$ [ Sum of two complementary angles is ${90}^{\circ }$]

$\Rightarrow x={90}^{\circ }-{75}^{\circ }$

$\Rightarrow x={15}^{\circ }$

Required angle = ${15}^{\circ }$