Question 476ccd6

Geometry and Trigonometry - Lines, angles, and triangles

  • Counterclockwise from top right, the lines are labeled s, r, q, and t.
  • Line s intersects line r above line q.
  • Line s and line r each intersect line q and line t.
  • At the intersection of line s and line r, 1 angle is labeled counterclockwise from top as follows:
    • Top: a°
  • At the intersection of line s and line q, 1 angle is labeled counterclockwise from top-left as follows:
    • Top left: b°
  • At the intersection of line r and line t:
    • The line segment divides the bottom-left angle into two equal angles, each labeled w°.
  • A note indicates the figure is not drawn to scale.

In the figure, parallel lines q and t are intersected by lines r and s . If a = 43 and b = 122 , what is the value of w ?

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