why angles of a hexagon are 122 degree 95 degree 80 degree 135 degree and 125 degree find the sixth angle​

why angles of a hexagon are 122 degree 95 degree 80 degree 135 degree and 125 degree find the sixth angle​

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2 thoughts on “why angles of a hexagon are 122 degree 95 degree 80 degree 135 degree and 125 degree find the sixth angle​”

  1. Step-by-step explanation:

    Given:-

    A hexagon with angle 122,95,80,135,125

    To Find :-

    Sixth angle

    Solution :-

    Hexagon It is a six sided polygon. It is a closed polygon. The sum of all angles in a hexagon is 720. Hexa means six and gon means side

    \sf 122 + 95 + 80 + 135 + 125 + y =720 122+95+80+135+125+y=720

    \sf 217 + 215 + 125 + y = 720 217+215+125+y=720

    \sf432 + 125 + y = 720 432+125+y=720

    \sf 557 + y =720557+y=720

    \sf y = 720 – 557y=720−557

    \star \sf y = 163^{ \circ}⋆y=163

    Verification

    122 + 95 + 80 + 135 + 125 + y =720

    122 + 95 + 80 + 135 + 125 + 163 = 720

    217 + 215 + 288 = 720

    432 + 288 = 720

    720 = 720

    Hence verified

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