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In the figure, AB ∥ CD and E is a point between the two lines, to the left of A and C. If ∠BAE = 140° and ∠DCE = 125°, find ∠AEC.

Competition practiceGeometry
  • A95°
  • B85°
  • C75°
  • D115°

Step-by-Step Solution

Draw a line through E parallel to AB. It splits ∠AEC into and (co-interior pairs). So ∠AEC = . Equivalently, ∠BAE + ∠AEC + ∠ECD = 360°.
Answer: A) 95°

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