Question

Please help and explain

Answer 1

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