Question

If 30% of an angle is the complement of ${15}^{\circ }$, then the angle is ______ .

• A. ${60}^{\circ }$
• B. ${75}^{\circ }$
• C. ${125}^{\circ }$
• D. ${250}^{\circ }$

Answer 1

The correct option is D ${250}^{\circ }$

Let the required angle be $x$.

We know that complement of ${15}^{\circ }={90}^{\circ }-{15}^{\circ }$
$={75}^{\circ }$

Now, 30% of $x={75}^{\circ }$ (given)

$\Rightarrow \frac{30}{100}\times x={75}^{\circ }$

$\Rightarrow x=\frac{75\times 100}{30}$

$\Rightarrow x={250}^{\circ }$

Therefore, measure of the required angle is ${250}^{\circ }$.