in need of some help!?:)

The ratio of the measures of two complementary angles is 1:5.
What are the measures of the angles?

A.

30° and 60°

B.

15° and 75°

C.

30° and 150°

D.

5° and 25°

Question

in need of some help!?:)

The ratio of the measures of two complementary angles is 1:5. 
What are the measures of the angles? 







A.

30° and 60°





B.

15° and 75°





C.

30° and 150°





D.

5° and 25°

jim_thompson5910 · Answer

Let x = smaller angle

Since the two angles are in ratio of 1:5, this means that if one angle (the smaller angle) is x, then the other is 5 times bigger....so 5x

The two angles are then

x and 5x

jim_thompson5910 · Answer

the two angles are complementary, so

angle 1 + angle 2 = 90

x + 5x = 90

anonymous · Answer

i got b for an answer is that correct?

jim_thompson5910 · Answer

b is correct, nice work

anonymous · Answer

also, complementary means they total to 90 degrees - so eliminate some of your choices

jim_thompson5910 · Answer

notice how 15+75 = 90

and that 75 is five times bigger than 15

anonymous · Answer

yep