Question

I need to show the work. Please help

Answer 1

Answer:

18

Step-by-step explanation:

125 = 7x - 1 ...... because if the two lines are parallel alternate interior angles are congruent

125 + 1 = 7x

126 = 7x

$\frac{126}{7} = \frac{7x}{7}$

x = 18

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Answer 2

The angles are supplementary which means that (7x-1)+125 = 180 so to go this, simply isolate the variable by doing the opposite operation on the constants to make zero pairs and cancel them out. So 7x-1(+1)+125(-125) makes 7x=185(+1 & -125) which is 61. So then you have 7x=61 and to find x just divide this by both sides to get x about 8.7