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Math·Geometry and Trigonometry·Lines, angles, and triangles

hard

A line intersects two parallel lines, forming four acute angles and four obtuse angles. The measure of one of the acute angles is $(9x-650{)}^{\circ }$. The sum of the measures of one of the acute angles and three of the obtuse angles is $(-18x+w{)}^{\circ }$. What is the value of $w$?

1

1840