If the ratio between two complementary angles is 6/3 which are the measures of the angles ?

Expert Answers
hala718 eNotes educator| Certified Educator

Two complementary angles means the sum equals 180.

Assume that the angles are (a) and (b)

Then a+b=180...(1)

We know that the ration between the angles is 6/3

Then a=6/3b

Now substitute in (1):

(6/3)b+b=180

==> 2b+b=180

==> 3b=180

==> b = 60 degrees

==> a= 120 degrees.

Check:

a and b complementary ==> a+b=180

                                      120+60=180

The ratio between both angles is 6/3

120/60=12/6= 6/3

missj-lit | Student

ratio of complementary angles EQUAL 6:3

add the ratios to get 9

angle are complementary, so divide 90 degrees by 9 to get 10 degrees

size of 1st angle EQUALS 10 degrees x 6 EQUALS 60 degrees

size of 2nd angle EQUALS 10 degrees x 3 EQUALS 30 degrees

neela | Student

t angle.Two angles are complemantary if they add up to a right angle.   So if xand y are two angles x+y = 90 degrees.

Their ratio here is 6/3. Therefore.

x+y = 90...(1)  and  x/y = 6/3 .....(2) .

From the 2nd equation,  x = (6/3)y = 2y. Putting it in eq(1),

2y+y = 90. Or

3y =90

y = 90/3 = 30 degres (= pi/6 radians). Therefore, x = 2y = 2*30 = 60 degrees (= pi/3 radians)

 

giorgiana1976 | Student

The sum of complementary angles is 90 degrees.

Suppose that a and b are the two complementary angles.

 

ax + b = 90

We know from hypothesis that the ratio between a and b is 6/3=2.

a/b=2 => a=2b

 

2b + b=90

 

3b=90

 

b=90/3=30

 

a= 2b=2*30=60