Answer: 33
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Step-by-step explanation:
The information that m || n is not needed or used, so I'm not sure why your teacher put that in there.
The angles shown are a linear pair. They are adjacent and they are supplementary. They form a straight angle.
Supplementary angles add to 180.
(x-17)+(5x-1) = 180
x-17+5x-1 = 180
(x+5x)+(-17-1) = 180
6x-18 = 180
6x = 180+18
6x = 198
x = 198/6
x = 33
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Extra info:
if x = 33, then,
- x-17 = 33-17 = 16
- 5x-1 = 5*33-1 = 165-1 = 164
Adding the angles gives 16+164 = 180 which helps confirm our answer.