Function Interior of an Angle

point X lies in interior of angleABC

Format:

point X lies in interior of ∠ABC

Input:

point X -
point A -
point B -
point C -

Output:

boolean - None

Details:

A C B X

Conditional properties that reference this function:

  • if point M is in segment AB, then point M lies in interior of ∠AXB (link)
  • if AB || CD, then point C lies in interior of ∠ABD (link)
  • if m∠ABC = 180, then point X lies in interior of ∠ABC (link)
  • if (point M is in segment BC) and (m∠AME = 180) and (m∠ACD = 180), then point E lies in interior of ∠BCD (link)
  • if ray BX bisects ∠ABC, then point X lies in interior of ∠ABC (link)
  • if ((m∠ABX) + (m∠XBC) = 180) or ((m∠ABX) + (m∠XBC) < 180), then point X lies in interior of ∠ABC (link)
  • if point X lies in interior of ∠ABC, then ((m∠ABX) + (m∠XBC) < 180) or ((m∠ABX) + (m∠XBC) = 180) (link)
  • if quadrilateral ABCD is convex, then point A lies in interior of ∠BCD (link)
  • if quadrilateral ABCD is convex, then point B lies in interior of ∠CDA (link)
  • if quadrilateral ABCD is convex, then point C lies in interior of ∠DAB (link)


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