Answer:
Step-by-step explanation:
1) a) equations: 3x+21 and 6x -60
b) value of x: 3x+ 21=6x-60 ( set them equal to each other because they are equal, then solve)
3x+21=6x-60
-3x=-81
x= 27
c) replace 27 in both equations to find the angle measure.
3(27)+21= 102
6(27)-60= 102
2) a) equations: 12x-18 and 8x+10
b) value of x: 12x-18=8x+10( set them equal to each other because they are equal, then solve)
12x-18=8x+10
4x=28
x= 7
c) replace 7 in both equations to find angle measure.
12(7) -18 = 66
8(7)+10= 66
angle measure: 66
3) a) equations: 7x+9 and 5x+3
b) value of x: to find value of x here, first know that the these two equations will add up to 180. So, set them up to be equal to 180.
7x+9+5x+3=180
Then solve.
12x+ 12=180
12x=168
x=14
c) angle measure: replace the 14 in the x of the two equations.
7(14) +9 = 107
5(14) +3= 73
add the two angle measure together to see if they add up to 180.
107 + 73 = 180 correct! :D
