Question

Geometry: Find x and y in the diagram.
Justify your answer.

(10x+5y)° = 72°
(15x+4y)° = 80°

Answer 1

its just algebra, solving simultaneous equations
tried it ?

Answer 2

you can try elimination method, know what that is ?

Answer 3

Please just tell me how to do it

Answer 4

ok, lets do elimination method,
multiply 1st equation by 4
what do u get ?

Answer 5

40x+20y

Answer 6

40x+20y =.... what ?

Answer 7

40x+20y=288

Answer 8

yes, now multiply 2nd equation by 5
what u get ?

Answer 9

75x+20y=400 then the 20y's gets cancelled right

Answer 10

yes, if you subtract the equations, 20y gets cancelled :)
so what value of 'x' do you get then ?

Answer 11

688/115 ? Something wrong

Answer 12

we are subtracting equations,
so,
75x - 40x = 400 - 288
got this ?

Answer 13

Yeah okay so x=16/5?

Answer 14

yes!
now find y using
(10x+5y)° = 72°

Answer 15

I have the answer in the back of the book it says x=4 !!?

Answer 16

thats not possible
for the equations u have posted, x=3.2
so, maybe check your equations again?

Answer 17

There's a diagram how can I show u though

Answer 18

whats the origin question?
so that even i can verify your equations....

Answer 19

ok, use the draw tool, its below the reply box

Answer 20

Give me a moment

Answer 21

the starrs represent the degree sign

Answer 22

any lines parallel?

Answer 23

yea m ll n & p ll q

Answer 24

are you there?

Answer 25

so, 15x +4y and 80 are not equal, they are supplementary angles

Answer 26

oh :(

Answer 27

but they doesn't seem to be parallel, are you sure they are given parallel in the question ?

Answer 28

no it just asks for x and y and to justify the ans

Answer 29

(10x+5y) + 80 =180
(15x+4y) + 72=180
gives you x=4, y = 12
and for that only p||q should be there.

Answer 30

did you get how
(10x+5y) + 80 =180
(15x+4y) + 72=180
?

Answer 31

when do you put the 180 ? in which questions its really confusing. i understand how you got the answer right now

Answer 32

if its supplementary u use the 180 ?

Answer 33

yes, if A and B are supplementary, A+B =180

Answer 34

oh now i get it

Answer 35

since p||q , 10x+5y and 80 are supplementary

Answer 36

property : interior angles between parallel lines are supplementary

Answer 37

sorry, i didn't mean to interrupt your typing, what were you gonna say ?

Answer 38

its fine i was just going to thank you!! really thanks alot ur a life saver!!

Answer 39

i have another question would you mind helping? its the last one i promise!

Answer 40

sure , ask :)

Answer 41

Two lines are parallel. the measures of two corresponding angles are a*and 2b* , and the measures of two same-side interior angles are a* and b*.find value of a*

Answer 42

correcponding angles are congruent .
interior angles are supplementary.