Find the measure of angle 8
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18

Step-by-step explanation:

First we need to solve for x to find the measure of the adjacent angle.

-6x+64 = 8x + 162

subtract 162 to leave x by itself

-6x- 98 = 8x

add 6x to both sides

-98 = 14x

now divide by 14

x = -7

Now solve one of the given equations to find the measure of the adjacent angle.

8(-7)+162

-56 + 162 = 106

Meaning the measure of 8 is 18

because they'll add up to 180(The measure of the line)

It must have the same slope as the given line, so

m = -A/B = -1/-2 = 1/2

So far, we have

y = mx + b = x/2 + b

Use the given point to find b.

4 = -2/2 + b = -1 + b

b = 5

y = x/2 + 5

Multiply through by 2.

2y = x + 10

Standard form:

x - 2y = -10