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Since < 5 and the exterior angle, m < 65 °are corresponding angles that have the same measure, and < 5 is a supplement of < (11x -17)°, we can solve for x by establishing the equation:

< 5 + < (11x - 17)° = 180°

65° + 11x - 17 = 180°

Combine like terms:
48° + 11x = 180°

Subtract 48 from both sides:

48° - 48° + 11x = 180° - 48°
11x = 132°

Divide both sides by 11:
11x/11 = 132/11

x = 12

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