• wieson@feddit.org
    link
    fedilink
    arrow-up
    21
    arrow-down
    1
    ·
    26 days ago

    It’s even easier than going the triangle route.

    A four-corner shape always has 360° internally.

    So the internal angle of corner X is 360-(60+40+35).

    The exterior angle therefore is 360-360-(60+40+35) = 60+40+35 = 135

    • brown567@sh.itjust.works
      link
      fedilink
      arrow-up
      10
      ·
      26 days ago

      That’s based on the assumption that the two angles in the middle add up to 180, which can’t be assumed by inspection alone as demonstrated by the visibly square 80° angle

      • surewhynotlem@lemmy.world
        link
        fedilink
        arrow-up
        6
        arrow-down
        1
        ·
        26 days ago

        No, you should completely ignore the bottom half of the center line. You end up with a shape with four turns. Those four internal angles always add to 360.

        • BlueMagma@sh.itjust.works
          link
          fedilink
          arrow-up
          4
          ·
          26 days ago

          He is saying your shape might have 5 turns instead of 4 if the bottom line is not actually a line. Though if that was the case, the problem would not be solvable, so I doubt it.