Question

Two angles are complementary. The sum of the measure of the first angle, and one forth of the second angle is 57 degrees. Find the measurements of the angles.

Smaller and other

Answer 1

you will get two equations... have you tried getting it?

Answer 2

complementry means, 90 - x

Answer 3

saifoo let the people try it..

Answer 4

LOL, sure! ;)

Answer 5

Cali23760 you got 2 equations?? lol saifoo

Answer 6

no

Answer 7

Since they are complementary angles, their sum is 90.
The second sentence gives us a+b/4=57
Thus the two equations are
a+b=90
a+b/4=57

Answer 8

anhhuyalex we know the answers... we must help them solve it.. not solve it for them.... we must help them learn not answer their work!

Answer 9

so 90 is the smaller angle, and 57 is the other angle?

Answer 10

no, the angles are a and b, you use those two equations to find what a and b are

Answer 11

LOL. sorry. :|

Answer 12

geez...I dont know this stuff

Answer 13

we'll help you through it

Answer 14

so you have your two equations,

a+b=90
a+b/4=57, right?

Answer 15

yea

Answer 16

now we have two equations with two unknowns

Answer 17

we use one equation to solve one of the unknowns in terms of the other

Answer 18

i recommend subtracting b on both sides of the first equation

Answer 19

so 90a?

Answer 20

you should bet a=90-b

Answer 21

right?

Answer 22

right

Answer 23

now this relation is also true for the second equation

Answer 24

so we can plug this new value for a in the second equation

Answer 25

try it and let me know what you get

Answer 26

so b=57-a

Answer 27

no, dont do the same thing, substitute 90-b for a in the second equation

Answer 28

so

a+b/4=57

becomes

90-b+b/4=57

Answer 29

ok,now what

Answer 30

you can solve this equation for b since it is the only variable

Answer 31

ok, I am not familiar with this kind of work

Answer 32

getting to this point is substitution, solving it is basic algebra

Answer 33

you combine the b terms (-b+b/4=-3/4 b) and subtract 90 on both sides

Answer 34

so you should end up with

-3/4 b= -33

Answer 35

now just multiply each side by -4/3, and you will get the answer for b

Answer 36

what do you get?

Answer 37

44?

Answer 38

yup

Answer 39

now plug that into the identity we found earlier to get a

Answer 40

i dont get it

Answer 41

we found the identity

a=90-b

earlier, now that we have b, we can just insert it into this equation to get a

Answer 42

56

Answer 43

close

Answer 44

90-44=46

Answer 45

i feel dumb

Answer 46

its fine, i almost made the same error

Answer 47

so 44 and 46

Answer 48

yup

Answer 49

44+46=90,

46+44/4=46+11=57

in case you wanted to check