APAPAP and BPBPBP are the two tangents at the extremities of chord ABABAB of a circle. Prove that MAPMAPMAP is equal to MBPMBPMBP.
A O P B M


Answer:


Step by Step Explanation:
  1. Given:
    ABABAB is a chord of the circle with center OOO.
    Tangents at the extremities of the chord ABABAB meet at an external point PPP.
    Chord ABABAB intersects the line segment OPOPOP at MMM.
  2. Now, we have to find the measure of MAP.MAP.MAP.

    In MAPMAPMAP and MBP,MBP,MBP, we have [Math Processing Error]
  3. We know that corresponding parts of congruent triangles are equal.
    Thus, MAP=MBPMAP=MBP.

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