Answer:
Step-by-step explanation:
Remark
These two angles are related by the supplement of corresponding angles. So they add to 180.
Equation
<1 + <2 = 180
2x + 4 + 8x - 14 = 180
Givens
<1 = 2x + 4
<2 = 8x - 14
Solution
<1 + <2 = 180 Substitute the givens into this equation
2x + 4 + 8x - 14 = 180 Combine like terms
2x + 8x + 4 - 14 = 180
10x - 10 = 180 Add 10 to both sides
10x-10+10 = 180+10 Combine
10x = 190 Divide by 10
10x/10 = 190/10
x = 19
Answer: x = 19
