Question

The measure of two complementary angles is in the ratio 1 : 9. What are the degree measures of the two angles?

Answer 1

What do complementary angles mean?

Answer 2

they compliment each other

Answer 3

ah? so one angle says to the other " hey, nice angle" ?

Answer 4

No they both equal to 90 degrees

Answer 5

and the other says, "Thanks, you look quite good yourself" ?
Is that what you mean by they compliment each other?

Answer 6

okay good.

Answer 7

that means they add up to 90 degrees, correct?

Answer 8

yes

Answer 9

right. so let us say one angle is A and the other angle is B

Answer 10

A : B = 1 : 9, right?

Answer 11

right

Answer 12

and A+B = 90. Are you with me?

Answer 13

ya i get you so far

Answer 14

good. so you have two equations
A + B = 90
and
A/B = 1/9

Answer 15

A / B = 1 / 9
=> A = 9B

Answer 16

substitute A in the other equation and solve for B