The measure of an angle is twice the measure of its compliment. I hat are the measures of both angles? A) 30 and 60 B) 20 and 40 C) 45 and 45 D) 60 and 120

Question

asked Oct 5, 2021 83.3k views

1 Answer

Ewggwegw · Answer 1 · 2021-10-09T23:15:30+0000

If angles are complementary then their sum is 90 degrees.

$\alpha+\beta=90^(\circ)$ .

If one is twice the other we get,

$2\beta + \beta=3\beta=90^(\circ)\implies \beta=(90^(\circ))/(3)=\boxed{30^(\circ)}$

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.