Question

m angle 1 = (4x+12) degrees, m angle 2 = (7x+3) degrees, and m angle 3 = 6y degrees, then x = ?, m angle 1 = ?, m angle 2= ?, and y =?

Answer 1

are these interior angles of a tirangle?

Answer 2

im doing stuff with linear and vertical angles

Answer 3

picture?

Answer 4

Is this in a triangle?

Answer 5

do you see how angle 1 and angle 2, when added = 180 degrees?

Answer 6

yeah

Answer 7

then we can solve for x,

(4x+12) + (7x+3) = 180

Answer 8

how do you solve for x?

Answer 9

add it all? and get 26=x?

Answer 10

close...
(4x+12) + (7x+3) = 180
becomes
4x+12+7x+3=180

11x+12+3=180

11x + 15 = 180

11x = 180 - 15

11x = 165

x = ...

Answer 11

how does the 15 go over to the other side and subtract from 180?

Answer 12

great question, its a method/rule used to 'isolate x'

11x + 15 = 180

11x + 15 - 15 = 180 -15

11x = 165

If I subtract any number from one side, i have to do it to the other side. make sense?

Answer 13

yes, so does x=11 then?

Answer 14

close...

so similar to how I subtracted 15 from both sides, i'm going to divide by 11 on both sides

11x = 165

(11x)/11 = 165/11
[the 11's on the left cancel out]

x = 165/11

Answer 15

so x=15.

Answer 16

but how would i find what m angle 1, m angle 2 and y equal?

Answer 17

but how would i find y?

m angle 3=6y