Question

Find the measure of angle 8
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Answer 1

measure of angle 8 is 16 6/7

Explanation:

-6x+64=8x+62 because there is a transversal.

2=14x

x=2/14

so, now you have to find 8x+162. 163 1/7 degrees. (Plug in variables)

measure of the angle we just found + measure of angle 8 is 180 degrees.

(straight line definition) so 180-163 1/7= 16 6/7

measure of angle 8 is 16 6/7

Answer 2

Answer: 18

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 angle 8 is 18

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