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1987 AMC 12 Question 6

AMC12 · 1987 AMC 12

Question 6

In the $\triangle ABC$ shown, $D$ is some interior point, and $x,$ $y,$ $z,$ $w$ are the measures of angles in degrees. Solve for $x$ in terms of $y,$ $z,$ and $w.$

Question illustration
  1. $w-y-z$
  2. $w-2y-2z$
  3. $180-w-y-z$
  4. $2w-y-z$
  5. $180-w+y+z$