What is the measure of the smaller of the two angles?

Question

Two angles are complementary. The mesure of one angle is twice the measure of the other angle.

Answer 1

Complementary means the measures of the angles add up to 90 degrees. If one angle is twice the measure of the other, call the measure of the smaller angle x and the larger angle 2x. Then you know that adding them together you get 90 degrees, so x + 2x=90. Then add to get 3x=90. Next, divide both sides by 3 and x=30. X was the smaller angle, so your answer is 30 degrees.

If you want to do this in radians instead of degrees, you use pi/2 instead of 90 degrees and get x=pi/6.

Answer 2

Do you dont know this one because you dont understand "complementary"? Thats the feeling I got, anyway.

Complementary angles add up to 90 degrees. so if one angle is twice the other,
x+2x=90deg
x=30deg

Answer 3

30 degrees