The measure of two complementary angles are in the ratio 1 : 5. What are the degree measures of the two angles? What is the solution of each proportion?

A. 36° and 144°

B. 15° and 75°

C. 30° and 150°

D. 18° and 72°

Question

The measure of two complementary angles are in the ratio 1 : 5. What are the degree measures of the two angles? What is the solution of each proportion?

A. 36° and 144°

B. 15° and 75°

C. 30° and 150°

D. 18° and 72°

highschoolmom2010 · Answer

i think it is C

highschoolmom2010 · Answer

but i got it marked wrong could it be any of the other choices?

highschoolmom2010 · Answer

ok...
so we have $$36*5\neq144$$ 
$$15*5=75$$  ^ true 
$$30*5=150$$
^true
$$18*5\neq72$$

jamierox4ev3r · Answer

it seems as if it would be B. because:

$\frac{1}{5}$=$\frac{15}{75}$

jamierox4ev3r · Answer

this is the proportion that represents your answer.

highschoolmom2010 · Answer

could it also be C $$\frac{ 1 }{ 5 }=\frac{ 30 }{ 150 }$$

highschoolmom2010 · Answer

5*30=150=1
150=150

radar · Answer

50 and 130 are not complementary.

highschoolmom2010 · Answer

ah ok ty @radar

anonymous · Answer

Let one angle be x 
Other angle = 5x
 Given, x + 5x = 90 
6x = 90 
x = 15 
Other angle is 75