Question

The measure of an angle is twice the measure of its compliment. I hat are the measures of both angles?

Answer 1

If angles are complementary then their sum is 90 degrees.

$\alpha+\beta=90^{\circ}$.

If one is twice the other we get,

$2\beta + \beta=3\beta=90^{\circ}\implies \beta=\frac{90^{\circ}}{3}=\boxed{30^{\circ}}$

And,

$\alpha+30^{\circ}=90^{\circ}\implies\alpha=90^{\circ}-30^{\circ}=\boxed{60^{\circ}}$.

So the answer is A. 30 and 60.

Hope this helps.