Question

Please help! Final problem for tonight

Answer 1

x = 14 and y = 127

Explanation:

we know that 4x-6 +8x+18 = 180

and 8x+18 = y+3

Let's first solve for x for the first equation.

12x = 180-18+6

x=14

Now solve for y for the second equation.

8(14) +18 = y + 3

y = 8(14) +18 -3

y = 127

Answer 2

(4x-6)+(8x+18)=180(adjacent angles are supplementary)

4x-6+8x+18=180

4x+8x-6+18=180

12x+12=180

12x=180-12

12x=168

x168/12

x=14

8x+18=y+3 (corresponding angles are equal)

8×14+18=y+3

130=y+3

-y=3-130

-y=-127

y=127

x=14, y=127