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If four angles of a convex pentagon measure 120°, 93°, 108°, and 101°, find the measure of the fifth angle. Show equations and work that lead to your answer.

  • geometry -

    The sum of all internal angles of a pentagon is 540 degrees.

    For a polygon of N sides, the sum is
    N*(180-360/N) = N*180 - 360 degrees

    Subtract (120 +93 +108 +101) from 540 for your answer.

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