Ask your own question, for FREE!
Mathematics 7 Online
OpenStudy (anonymous):

question is in the attachenment

OpenStudy (anonymous):

one sec please

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

angle AGE is a vertical angle to BGD, so what does that mean?

OpenStudy (maheshmeghwal9):

110 degree

OpenStudy (maheshmeghwal9):

according to jim_thompson5910

jimthompson5910 (jim_thompson5910):

maheshmeghwal9 please don't just give the answer only, explain how you got it

OpenStudy (anonymous):

ty i thought they would both be 80

OpenStudy (anonymous):

hes alright

OpenStudy (anonymous):

ty @jim_thompson5910 and @maheshmeghwal9

OpenStudy (maheshmeghwal9):

it would be 110 since|dw:1337538663221:dw| angle 1= angle 2. It means that vertically opposite angles are equal.

OpenStudy (maheshmeghwal9):

Do u get it now?

OpenStudy (anonymous):

yes so every vertical angle is congruent

OpenStudy (maheshmeghwal9):

ya! always:)

OpenStudy (anonymous):

:) can you check me on one

OpenStudy (maheshmeghwal9):

do u want an ex. or proof?

OpenStudy (anonymous):

anyone would be fine

OpenStudy (anonymous):

OpenStudy (anonymous):

i got 160

jimthompson5910 (jim_thompson5910):

angles DAB and BAC form a straight angle, which means that they are supplementary angles

jimthompson5910 (jim_thompson5910):

so m < DAB + m < BAC = 180

OpenStudy (anonymous):

=180

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

so what does that mean in this case?

OpenStudy (anonymous):

c

OpenStudy (anonymous):

100

jimthompson5910 (jim_thompson5910):

nailed it

OpenStudy (anonymous):

:)

OpenStudy (anonymous):

hey Jim can you help me with one more

jimthompson5910 (jim_thompson5910):

sure go for it

OpenStudy (anonymous):

OpenStudy (anonymous):

(2x-6)=(x+12)

jimthompson5910 (jim_thompson5910):

good, you can say this because the bisection cuts the angle into two equal angles

jimthompson5910 (jim_thompson5910):

what do you get when you solve for x?

OpenStudy (anonymous):

square root of 12

jimthompson5910 (jim_thompson5910):

not sure how you got that

jimthompson5910 (jim_thompson5910):

(2x-6)=(x+12) is the same as 2x-6 = x+12

OpenStudy (anonymous):

hmm i got thirty

jimthompson5910 (jim_thompson5910):

Let me show you how to find x 2x-6 = x+12 2x-6+6 = x+12+6 2x = x+18 2x-x = x+18-x x = 18

jimthompson5910 (jim_thompson5910):

Now that we know x, how does this help us find angle BAC?

OpenStudy (anonymous):

yes do we subtract 12

jimthompson5910 (jim_thompson5910):

are you referring to solving the equation? or finding angle BAC?

OpenStudy (anonymous):

finding bac

jimthompson5910 (jim_thompson5910):

you plug in x = 18 into the expression for BAC

jimthompson5910 (jim_thompson5910):

and evaluate/simplify

OpenStudy (anonymous):

34

OpenStudy (anonymous):

wait

OpenStudy (anonymous):

i got d

jimthompson5910 (jim_thompson5910):

i don't see the choices, but it's not 34

OpenStudy (anonymous):

here is the choices

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

how did you get 45?

OpenStudy (anonymous):

i put it in the equation

jimthompson5910 (jim_thompson5910):

You plugged in x = 18 into 2x-6? So you did 2x-6 2(18) - 6 right?

OpenStudy (anonymous):

okay and i got was 30

jimthompson5910 (jim_thompson5910):

good, that's the correct answer

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!